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Finding the Fourth Proportional to 1,411.19, 2,115 and 1,000.43

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Solution

The fourth proportional to 1,411.19, 2,115 and 1,000.43 is: 1,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.19 : 2,115 = 1,000.43 : x
  2. Step 2: Convert to fraction form
    1,411.19/2,115 = 1,000.43/x
  3. Step 3: Cross multiply
    1,411.19x = 2,115 × 1,000.43
  4. Step 4: Simplify right side
    1,411.19x = 2,115,898.88
  5. Step 5: Solve for x
    x = 2,115,898.88/1,411.19
  6. Step 6: Final answer
    x = 1,499.38

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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.