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Finding the Fourth Proportional to 1,972.87, 2,957.28 and 877.75

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Solution

The fourth proportional to 1,972.87, 2,957.28 and 877.75 is: 1,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.87 : 2,957.28 = 877.75 : x
  2. Step 2: Convert to fraction form
    1,972.87/2,957.28 = 877.75/x
  3. Step 3: Cross multiply
    1,972.87x = 2,957.28 × 877.75
  4. Step 4: Simplify right side
    1,972.87x = 2,595,752.52
  5. Step 5: Solve for x
    x = 2,595,752.52/1,972.87
  6. Step 6: Final answer
    x = 1,315.72

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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.