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Finding the Fourth Proportional to 2,957.97, 4,437.73 and 877.96

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Solution

The fourth proportional to 2,957.97, 4,437.73 and 877.96 is: 1,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.97 : 4,437.73 = 877.96 : x
  2. Step 2: Convert to fraction form
    2,957.97/4,437.73 = 877.96/x
  3. Step 3: Cross multiply
    2,957.97x = 4,437.73 × 877.96
  4. Step 4: Simplify right side
    2,957.97x = 3,896,152.78
  5. Step 5: Solve for x
    x = 3,896,152.78/2,957.97
  6. Step 6: Final answer
    x = 1,317.17

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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.