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Finding the Fourth Proportional to 2,802.15, 3,866.31 and 1,682.91

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Solution

The fourth proportional to 2,802.15, 3,866.31 and 1,682.91 is: 2,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.15 : 3,866.31 = 1,682.91 : x
  2. Step 2: Convert to fraction form
    2,802.15/3,866.31 = 1,682.91/x
  3. Step 3: Cross multiply
    2,802.15x = 3,866.31 × 1,682.91
  4. Step 4: Simplify right side
    2,802.15x = 6,506,651.76
  5. Step 5: Solve for x
    x = 6,506,651.76/2,802.15
  6. Step 6: Final answer
    x = 2,322.02

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