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Finding the Fourth Proportional to 2,610.64, 3,915.96 and 1,457.20

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Solution

The fourth proportional to 2,610.64, 3,915.96 and 1,457.20 is: 2,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.64 : 3,915.96 = 1,457.20 : x
  2. Step 2: Convert to fraction form
    2,610.64/3,915.96 = 1,457.20/x
  3. Step 3: Cross multiply
    2,610.64x = 3,915.96 × 1,457.20
  4. Step 4: Simplify right side
    2,610.64x = 5,706,336.91
  5. Step 5: Solve for x
    x = 5,706,336.91/2,610.64
  6. Step 6: Final answer
    x = 2,185.80

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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.