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Finding the Fourth Proportional to 2,477.34, 3,417.14 and 1,731.02

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Solution

The fourth proportional to 2,477.34, 3,417.14 and 1,731.02 is: 2,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.34 : 3,417.14 = 1,731.02 : x
  2. Step 2: Convert to fraction form
    2,477.34/3,417.14 = 1,731.02/x
  3. Step 3: Cross multiply
    2,477.34x = 3,417.14 × 1,731.02
  4. Step 4: Simplify right side
    2,477.34x = 5,915,137.68
  5. Step 5: Solve for x
    x = 5,915,137.68/2,477.34
  6. Step 6: Final answer
    x = 2,387.70

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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.