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Finding the Fourth Proportional to 2,122.61, 2,929.15 and 1,178.40

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Solution

The fourth proportional to 2,122.61, 2,929.15 and 1,178.40 is: 1,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.61 : 2,929.15 = 1,178.40 : x
  2. Step 2: Convert to fraction form
    2,122.61/2,929.15 = 1,178.40/x
  3. Step 3: Cross multiply
    2,122.61x = 2,929.15 × 1,178.40
  4. Step 4: Simplify right side
    2,122.61x = 3,451,704.47
  5. Step 5: Solve for x
    x = 3,451,704.47/2,122.61
  6. Step 6: Final answer
    x = 1,626.16

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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.