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Finding the Fourth Proportional to 2,802.65, 3,867.47 and 1,682.92

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Solution

The fourth proportional to 2,802.65, 3,867.47 and 1,682.92 is: 2,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.65 : 3,867.47 = 1,682.92 : x
  2. Step 2: Convert to fraction form
    2,802.65/3,867.47 = 1,682.92/x
  3. Step 3: Cross multiply
    2,802.65x = 3,867.47 × 1,682.92
  4. Step 4: Simplify right side
    2,802.65x = 6,508,624.53
  5. Step 5: Solve for x
    x = 6,508,624.53/2,802.65
  6. Step 6: Final answer
    x = 2,322.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.