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Finding the Fourth Proportional to 1,620.39, 2,411.14 and 1,614.93

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Solution

The fourth proportional to 1,620.39, 2,411.14 and 1,614.93 is: 2,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.39 : 2,411.14 = 1,614.93 : x
  2. Step 2: Convert to fraction form
    1,620.39/2,411.14 = 1,614.93/x
  3. Step 3: Cross multiply
    1,620.39x = 2,411.14 × 1,614.93
  4. Step 4: Simplify right side
    1,620.39x = 3,893,822.32
  5. Step 5: Solve for x
    x = 3,893,822.32/1,620.39
  6. Step 6: Final answer
    x = 2,403.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.