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Finding the Fourth Proportional to 2,917.92, 4,377.60 and 970.14

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Solution

The fourth proportional to 2,917.92, 4,377.60 and 970.14 is: 1,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.92 : 4,377.60 = 970.14 : x
  2. Step 2: Convert to fraction form
    2,917.92/4,377.60 = 970.14/x
  3. Step 3: Cross multiply
    2,917.92x = 4,377.60 × 970.14
  4. Step 4: Simplify right side
    2,917.92x = 4,246,884.86
  5. Step 5: Solve for x
    x = 4,246,884.86/2,917.92
  6. Step 6: Final answer
    x = 1,455.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.