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Finding the Fourth Proportional to 1,580.34, 2,370.33 and 426.18

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Solution

The fourth proportional to 1,580.34, 2,370.33 and 426.18 is: 639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.34 : 2,370.33 = 426.18 : x
  2. Step 2: Convert to fraction form
    1,580.34/2,370.33 = 426.18/x
  3. Step 3: Cross multiply
    1,580.34x = 2,370.33 × 426.18
  4. Step 4: Simplify right side
    1,580.34x = 1,010,187.24
  5. Step 5: Solve for x
    x = 1,010,187.24/1,580.34
  6. Step 6: Final answer
    x = 639.22

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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.