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Finding the Fourth Proportional to 2,610.83, 3,915.10 and 1,877.34

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Solution

The fourth proportional to 2,610.83, 3,915.10 and 1,877.34 is: 2,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.83 : 3,915.10 = 1,877.34 : x
  2. Step 2: Convert to fraction form
    2,610.83/3,915.10 = 1,877.34/x
  3. Step 3: Cross multiply
    2,610.83x = 3,915.10 × 1,877.34
  4. Step 4: Simplify right side
    2,610.83x = 7,349,990.86
  5. Step 5: Solve for x
    x = 7,349,990.86/2,610.83
  6. Step 6: Final answer
    x = 2,815.19

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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.