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Finding the Fourth Proportional to 1,637.62, 2,455.08 and 934.04

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Solution

The fourth proportional to 1,637.62, 2,455.08 and 934.04 is: 1,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.62 : 2,455.08 = 934.04 : x
  2. Step 2: Convert to fraction form
    1,637.62/2,455.08 = 934.04/x
  3. Step 3: Cross multiply
    1,637.62x = 2,455.08 × 934.04
  4. Step 4: Simplify right side
    1,637.62x = 2,293,145.26
  5. Step 5: Solve for x
    x = 2,293,145.26/1,637.62
  6. Step 6: Final answer
    x = 1,400.29

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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.