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Finding the Fourth Proportional to 1,521.85, 2,281.33 and 937.10

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Solution

The fourth proportional to 1,521.85, 2,281.33 and 937.10 is: 1,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.85 : 2,281.33 = 937.10 : x
  2. Step 2: Convert to fraction form
    1,521.85/2,281.33 = 937.10/x
  3. Step 3: Cross multiply
    1,521.85x = 2,281.33 × 937.10
  4. Step 4: Simplify right side
    1,521.85x = 2,137,820.59
  5. Step 5: Solve for x
    x = 2,137,820.59/1,521.85
  6. Step 6: Final answer
    x = 1,404.75

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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.