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Finding the Fourth Proportional to 1,500.96, 2,251.98 and 1,089.40

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Solution

The fourth proportional to 1,500.96, 2,251.98 and 1,089.40 is: 1,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.96 : 2,251.98 = 1,089.40 : x
  2. Step 2: Convert to fraction form
    1,500.96/2,251.98 = 1,089.40/x
  3. Step 3: Cross multiply
    1,500.96x = 2,251.98 × 1,089.40
  4. Step 4: Simplify right side
    1,500.96x = 2,453,307.01
  5. Step 5: Solve for x
    x = 2,453,307.01/1,500.96
  6. Step 6: Final answer
    x = 1,634.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.