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Finding the Fourth Proportional to 2,117.68, 3,176.16 and 963.16

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Solution

The fourth proportional to 2,117.68, 3,176.16 and 963.16 is: 1,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.68 : 3,176.16 = 963.16 : x
  2. Step 2: Convert to fraction form
    2,117.68/3,176.16 = 963.16/x
  3. Step 3: Cross multiply
    2,117.68x = 3,176.16 × 963.16
  4. Step 4: Simplify right side
    2,117.68x = 3,059,150.27
  5. Step 5: Solve for x
    x = 3,059,150.27/2,117.68
  6. Step 6: Final answer
    x = 1,444.58

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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.