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Finding the Fourth Proportional to 2,510.03, 3,765.58 and 754.88

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Solution

The fourth proportional to 2,510.03, 3,765.58 and 754.88 is: 1,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.03 : 3,765.58 = 754.88 : x
  2. Step 2: Convert to fraction form
    2,510.03/3,765.58 = 754.88/x
  3. Step 3: Cross multiply
    2,510.03x = 3,765.58 × 754.88
  4. Step 4: Simplify right side
    2,510.03x = 2,842,557.26
  5. Step 5: Solve for x
    x = 2,842,557.26/2,510.03
  6. Step 6: Final answer
    x = 1,132.48

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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.