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Finding the Fourth Proportional to 1,580.59, 2,370.89 and 426.31

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Solution

The fourth proportional to 1,580.59, 2,370.89 and 426.31 is: 639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.59 : 2,370.89 = 426.31 : x
  2. Step 2: Convert to fraction form
    1,580.59/2,370.89 = 426.31/x
  3. Step 3: Cross multiply
    1,580.59x = 2,370.89 × 426.31
  4. Step 4: Simplify right side
    1,580.59x = 1,010,734.12
  5. Step 5: Solve for x
    x = 1,010,734.12/1,580.59
  6. Step 6: Final answer
    x = 639.47

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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.