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Finding the Fourth Proportional to 1,429.46, 2,141.84 and 880.47

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Solution

The fourth proportional to 1,429.46, 2,141.84 and 880.47 is: 1,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.46 : 2,141.84 = 880.47 : x
  2. Step 2: Convert to fraction form
    1,429.46/2,141.84 = 880.47/x
  3. Step 3: Cross multiply
    1,429.46x = 2,141.84 × 880.47
  4. Step 4: Simplify right side
    1,429.46x = 1,885,821.46
  5. Step 5: Solve for x
    x = 1,885,821.46/1,429.46
  6. Step 6: Final answer
    x = 1,319.26

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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.