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Finding the Fourth Proportional to 1,426.72, 2,138.96 and 560.96

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Solution

The fourth proportional to 1,426.72, 2,138.96 and 560.96 is: 841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.72 : 2,138.96 = 560.96 : x
  2. Step 2: Convert to fraction form
    1,426.72/2,138.96 = 560.96/x
  3. Step 3: Cross multiply
    1,426.72x = 2,138.96 × 560.96
  4. Step 4: Simplify right side
    1,426.72x = 1,199,871.00
  5. Step 5: Solve for x
    x = 1,199,871.00/1,426.72
  6. Step 6: Final answer
    x = 841.00

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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.