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Finding the Fourth Proportional to 2,510.40, 3,765.88 and 867.30

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Solution

The fourth proportional to 2,510.40, 3,765.88 and 867.30 is: 1,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.40 : 3,765.88 = 867.30 : x
  2. Step 2: Convert to fraction form
    2,510.40/3,765.88 = 867.30/x
  3. Step 3: Cross multiply
    2,510.40x = 3,765.88 × 867.30
  4. Step 4: Simplify right side
    2,510.40x = 3,266,147.72
  5. Step 5: Solve for x
    x = 3,266,147.72/2,510.40
  6. Step 6: Final answer
    x = 1,301.05

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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.