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Finding the Fourth Proportional to 2,032.46, 3,048.69 and 715.91

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Solution

The fourth proportional to 2,032.46, 3,048.69 and 715.91 is: 1,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.46 : 3,048.69 = 715.91 : x
  2. Step 2: Convert to fraction form
    2,032.46/3,048.69 = 715.91/x
  3. Step 3: Cross multiply
    2,032.46x = 3,048.69 × 715.91
  4. Step 4: Simplify right side
    2,032.46x = 2,182,572.41
  5. Step 5: Solve for x
    x = 2,182,572.41/2,032.46
  6. Step 6: Final answer
    x = 1,073.86

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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.