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Finding the Fourth Proportional to 1,680.72, 2,524.72 and 1,133.96

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Solution

The fourth proportional to 1,680.72, 2,524.72 and 1,133.96 is: 1,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.72 : 2,524.72 = 1,133.96 : x
  2. Step 2: Convert to fraction form
    1,680.72/2,524.72 = 1,133.96/x
  3. Step 3: Cross multiply
    1,680.72x = 2,524.72 × 1,133.96
  4. Step 4: Simplify right side
    1,680.72x = 2,862,931.49
  5. Step 5: Solve for x
    x = 2,862,931.49/1,680.72
  6. Step 6: Final answer
    x = 1,703.40

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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.