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Finding the Fourth Proportional to 2,518.48, 3,475.65 and 1,524

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Solution

The fourth proportional to 2,518.48, 3,475.65 and 1,524 is: 2,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.48 : 3,475.65 = 1,524 : x
  2. Step 2: Convert to fraction form
    2,518.48/3,475.65 = 1,524/x
  3. Step 3: Cross multiply
    2,518.48x = 3,475.65 × 1,524
  4. Step 4: Simplify right side
    2,518.48x = 5,296,890.60
  5. Step 5: Solve for x
    x = 5,296,890.60/2,518.48
  6. Step 6: Final answer
    x = 2,103.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.