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Finding the Fourth Proportional to 2,952.48, 4,431.80 and 1,310.18

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Solution

The fourth proportional to 2,952.48, 4,431.80 and 1,310.18 is: 1,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.48 : 4,431.80 = 1,310.18 : x
  2. Step 2: Convert to fraction form
    2,952.48/4,431.80 = 1,310.18/x
  3. Step 3: Cross multiply
    2,952.48x = 4,431.80 × 1,310.18
  4. Step 4: Simplify right side
    2,952.48x = 5,806,455.72
  5. Step 5: Solve for x
    x = 5,806,455.72/2,952.48
  6. Step 6: Final answer
    x = 1,966.64

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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.