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Finding the Fourth Proportional to 2,444.48, 3,648.56 and 2,152.88

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Solution

The fourth proportional to 2,444.48, 3,648.56 and 2,152.88 is: 3,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.48 : 3,648.56 = 2,152.88 : x
  2. Step 2: Convert to fraction form
    2,444.48/3,648.56 = 2,152.88/x
  3. Step 3: Cross multiply
    2,444.48x = 3,648.56 × 2,152.88
  4. Step 4: Simplify right side
    2,444.48x = 7,854,911.85
  5. Step 5: Solve for x
    x = 7,854,911.85/2,444.48
  6. Step 6: Final answer
    x = 3,213.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.