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Finding the Fourth Proportional to 2,610.86, 3,915.32 and 1,130.30

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Solution

The fourth proportional to 2,610.86, 3,915.32 and 1,130.30 is: 1,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.86 : 3,915.32 = 1,130.30 : x
  2. Step 2: Convert to fraction form
    2,610.86/3,915.32 = 1,130.30/x
  3. Step 3: Cross multiply
    2,610.86x = 3,915.32 × 1,130.30
  4. Step 4: Simplify right side
    2,610.86x = 4,425,460.97
  5. Step 5: Solve for x
    x = 4,425,460.97/2,610.86
  6. Step 6: Final answer
    x = 1,695.02

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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.