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Finding the Fourth Proportional to 1,948.88, 2,922.93 and 715.87

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Solution

The fourth proportional to 1,948.88, 2,922.93 and 715.87 is: 1,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.88 : 2,922.93 = 715.87 : x
  2. Step 2: Convert to fraction form
    1,948.88/2,922.93 = 715.87/x
  3. Step 3: Cross multiply
    1,948.88x = 2,922.93 × 715.87
  4. Step 4: Simplify right side
    1,948.88x = 2,092,437.90
  5. Step 5: Solve for x
    x = 2,092,437.90/1,948.88
  6. Step 6: Final answer
    x = 1,073.66

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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.