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Finding the Fourth Proportional to 1,488.46, 2,237.76 and 1,216.52

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Solution

The fourth proportional to 1,488.46, 2,237.76 and 1,216.52 is: 1,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.46 : 2,237.76 = 1,216.52 : x
  2. Step 2: Convert to fraction form
    1,488.46/2,237.76 = 1,216.52/x
  3. Step 3: Cross multiply
    1,488.46x = 2,237.76 × 1,216.52
  4. Step 4: Simplify right side
    1,488.46x = 2,722,279.80
  5. Step 5: Solve for x
    x = 2,722,279.80/1,488.46
  6. Step 6: Final answer
    x = 1,828.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.