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Finding the Fourth Proportional to 1,583.10, 2,375.58 and 610.02

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Solution

The fourth proportional to 1,583.10, 2,375.58 and 610.02 is: 915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.10 : 2,375.58 = 610.02 : x
  2. Step 2: Convert to fraction form
    1,583.10/2,375.58 = 610.02/x
  3. Step 3: Cross multiply
    1,583.10x = 2,375.58 × 610.02
  4. Step 4: Simplify right side
    1,583.10x = 1,449,151.31
  5. Step 5: Solve for x
    x = 1,449,151.31/1,583.10
  6. Step 6: Final answer
    x = 915.39

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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.