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Finding the Fourth Proportional to 1,615.74, 2,423.34 and 575.58

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Solution

The fourth proportional to 1,615.74, 2,423.34 and 575.58 is: 863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.74 : 2,423.34 = 575.58 : x
  2. Step 2: Convert to fraction form
    1,615.74/2,423.34 = 575.58/x
  3. Step 3: Cross multiply
    1,615.74x = 2,423.34 × 575.58
  4. Step 4: Simplify right side
    1,615.74x = 1,394,826.04
  5. Step 5: Solve for x
    x = 1,394,826.04/1,615.74
  6. Step 6: Final answer
    x = 863.27

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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.