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Finding the Fourth Proportional to 1,329.86, 1,834.16 and 1,154.90

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Solution

The fourth proportional to 1,329.86, 1,834.16 and 1,154.90 is: 1,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.86 : 1,834.16 = 1,154.90 : x
  2. Step 2: Convert to fraction form
    1,329.86/1,834.16 = 1,154.90/x
  3. Step 3: Cross multiply
    1,329.86x = 1,834.16 × 1,154.90
  4. Step 4: Simplify right side
    1,329.86x = 2,118,278.86
  5. Step 5: Solve for x
    x = 2,118,278.86/1,329.86
  6. Step 6: Final answer
    x = 1,592.86

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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.