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Finding the Fourth Proportional to 1,948.41, 2,922.12 and 715.59

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Solution

The fourth proportional to 1,948.41, 2,922.12 and 715.59 is: 1,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.41 : 2,922.12 = 715.59 : x
  2. Step 2: Convert to fraction form
    1,948.41/2,922.12 = 715.59/x
  3. Step 3: Cross multiply
    1,948.41x = 2,922.12 × 715.59
  4. Step 4: Simplify right side
    1,948.41x = 2,091,039.85
  5. Step 5: Solve for x
    x = 2,091,039.85/1,948.41
  6. Step 6: Final answer
    x = 1,073.20

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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.