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Finding the Fourth Proportional to 2,952.80, 4,428.15 and 1,306.40

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Solution

The fourth proportional to 2,952.80, 4,428.15 and 1,306.40 is: 1,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.80 : 4,428.15 = 1,306.40 : x
  2. Step 2: Convert to fraction form
    2,952.80/4,428.15 = 1,306.40/x
  3. Step 3: Cross multiply
    2,952.80x = 4,428.15 × 1,306.40
  4. Step 4: Simplify right side
    2,952.80x = 5,784,935.16
  5. Step 5: Solve for x
    x = 5,784,935.16/2,952.80
  6. Step 6: Final answer
    x = 1,959.14

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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.