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Finding the Fourth Proportional to 2,864.64, 4,292.16 and 1,563.84

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Solution

The fourth proportional to 2,864.64, 4,292.16 and 1,563.84 is: 2,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.64 : 4,292.16 = 1,563.84 : x
  2. Step 2: Convert to fraction form
    2,864.64/4,292.16 = 1,563.84/x
  3. Step 3: Cross multiply
    2,864.64x = 4,292.16 × 1,563.84
  4. Step 4: Simplify right side
    2,864.64x = 6,712,251.49
  5. Step 5: Solve for x
    x = 6,712,251.49/2,864.64
  6. Step 6: Final answer
    x = 2,343.14

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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.