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Finding the Fourth Proportional to 2,085.88, 3,127.92 and 624.52

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Solution

The fourth proportional to 2,085.88, 3,127.92 and 624.52 is: 936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.88 : 3,127.92 = 624.52 : x
  2. Step 2: Convert to fraction form
    2,085.88/3,127.92 = 624.52/x
  3. Step 3: Cross multiply
    2,085.88x = 3,127.92 × 624.52
  4. Step 4: Simplify right side
    2,085.88x = 1,953,448.60
  5. Step 5: Solve for x
    x = 1,953,448.60/2,085.88
  6. Step 6: Final answer
    x = 936.51

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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.