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Finding the Fourth Proportional to 1,641.17, 2,465.40 and 1,641.17

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Solution

The fourth proportional to 1,641.17, 2,465.40 and 1,641.17 is: 2,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.17 : 2,465.40 = 1,641.17 : x
  2. Step 2: Convert to fraction form
    1,641.17/2,465.40 = 1,641.17/x
  3. Step 3: Cross multiply
    1,641.17x = 2,465.40 × 1,641.17
  4. Step 4: Simplify right side
    1,641.17x = 4,046,140.52
  5. Step 5: Solve for x
    x = 4,046,140.52/1,641.17
  6. Step 6: Final answer
    x = 2,465.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.