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Finding the Fourth Proportional to 1,347.59, 2,021.38 and 423.15

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Solution

The fourth proportional to 1,347.59, 2,021.38 and 423.15 is: 634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.59 : 2,021.38 = 423.15 : x
  2. Step 2: Convert to fraction form
    1,347.59/2,021.38 = 423.15/x
  3. Step 3: Cross multiply
    1,347.59x = 2,021.38 × 423.15
  4. Step 4: Simplify right side
    1,347.59x = 855,344.83
  5. Step 5: Solve for x
    x = 855,344.83/1,347.59
  6. Step 6: Final answer
    x = 634.72

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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.