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Finding the Fourth Proportional to 1,615.11, 2,423.10 and 575.34

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Solution

The fourth proportional to 1,615.11, 2,423.10 and 575.34 is: 863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.11 : 2,423.10 = 575.34 : x
  2. Step 2: Convert to fraction form
    1,615.11/2,423.10 = 575.34/x
  3. Step 3: Cross multiply
    1,615.11x = 2,423.10 × 575.34
  4. Step 4: Simplify right side
    1,615.11x = 1,394,106.35
  5. Step 5: Solve for x
    x = 1,394,106.35/1,615.11
  6. Step 6: Final answer
    x = 863.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.