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Finding the Fourth Proportional to 1,580.10, 2,370.24 and 484.47

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Solution

The fourth proportional to 1,580.10, 2,370.24 and 484.47 is: 726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.10 : 2,370.24 = 484.47 : x
  2. Step 2: Convert to fraction form
    1,580.10/2,370.24 = 484.47/x
  3. Step 3: Cross multiply
    1,580.10x = 2,370.24 × 484.47
  4. Step 4: Simplify right side
    1,580.10x = 1,148,307.75
  5. Step 5: Solve for x
    x = 1,148,307.75/1,580.10
  6. Step 6: Final answer
    x = 726.73

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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.