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Finding the Fourth Proportional to 1,580.02, 2,370.34 and 484.54

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Solution

The fourth proportional to 1,580.02, 2,370.34 and 484.54 is: 726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.02 : 2,370.34 = 484.54 : x
  2. Step 2: Convert to fraction form
    1,580.02/2,370.34 = 484.54/x
  3. Step 3: Cross multiply
    1,580.02x = 2,370.34 × 484.54
  4. Step 4: Simplify right side
    1,580.02x = 1,148,524.54
  5. Step 5: Solve for x
    x = 1,148,524.54/1,580.02
  6. Step 6: Final answer
    x = 726.91

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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.