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Finding the Fourth Proportional to 1,615.14, 2,422.53 and 575.10

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Solution

The fourth proportional to 1,615.14, 2,422.53 and 575.10 is: 862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.14 : 2,422.53 = 575.10 : x
  2. Step 2: Convert to fraction form
    1,615.14/2,422.53 = 575.10/x
  3. Step 3: Cross multiply
    1,615.14x = 2,422.53 × 575.10
  4. Step 4: Simplify right side
    1,615.14x = 1,393,197.00
  5. Step 5: Solve for x
    x = 1,393,197.00/1,615.14
  6. Step 6: Final answer
    x = 862.59

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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.