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Finding the Fourth Proportional to 2,758.47, 3,802.96 and 1,872.74

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Solution

The fourth proportional to 2,758.47, 3,802.96 and 1,872.74 is: 2,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.47 : 3,802.96 = 1,872.74 : x
  2. Step 2: Convert to fraction form
    2,758.47/3,802.96 = 1,872.74/x
  3. Step 3: Cross multiply
    2,758.47x = 3,802.96 × 1,872.74
  4. Step 4: Simplify right side
    2,758.47x = 7,121,955.31
  5. Step 5: Solve for x
    x = 7,121,955.31/2,758.47
  6. Step 6: Final answer
    x = 2,581.85

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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.