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Finding the Fourth Proportional to 2,747.16, 4,117.83 and 897.78

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Solution

The fourth proportional to 2,747.16, 4,117.83 and 897.78 is: 1,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.16 : 4,117.83 = 897.78 : x
  2. Step 2: Convert to fraction form
    2,747.16/4,117.83 = 897.78/x
  3. Step 3: Cross multiply
    2,747.16x = 4,117.83 × 897.78
  4. Step 4: Simplify right side
    2,747.16x = 3,696,905.42
  5. Step 5: Solve for x
    x = 3,696,905.42/2,747.16
  6. Step 6: Final answer
    x = 1,345.72

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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.