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Finding the Fourth Proportional to 1,580.02, 2,367.41 and 961.85

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Solution

The fourth proportional to 1,580.02, 2,367.41 and 961.85 is: 1,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.02 : 2,367.41 = 961.85 : x
  2. Step 2: Convert to fraction form
    1,580.02/2,367.41 = 961.85/x
  3. Step 3: Cross multiply
    1,580.02x = 2,367.41 × 961.85
  4. Step 4: Simplify right side
    1,580.02x = 2,277,094.42
  5. Step 5: Solve for x
    x = 2,277,094.42/1,580.02
  6. Step 6: Final answer
    x = 1,441.18

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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.