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Finding the Fourth Proportional to 2,488.52, 3,733.16 and 844.63

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Solution

The fourth proportional to 2,488.52, 3,733.16 and 844.63 is: 1,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.52 : 3,733.16 = 844.63 : x
  2. Step 2: Convert to fraction form
    2,488.52/3,733.16 = 844.63/x
  3. Step 3: Cross multiply
    2,488.52x = 3,733.16 × 844.63
  4. Step 4: Simplify right side
    2,488.52x = 3,153,125.37
  5. Step 5: Solve for x
    x = 3,153,125.37/2,488.52
  6. Step 6: Final answer
    x = 1,267.07

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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.