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Finding the Fourth Proportional to 2,524.48, 3,483.36 and 1,530

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Solution

The fourth proportional to 2,524.48, 3,483.36 and 1,530 is: 2,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.48 : 3,483.36 = 1,530 : x
  2. Step 2: Convert to fraction form
    2,524.48/3,483.36 = 1,530/x
  3. Step 3: Cross multiply
    2,524.48x = 3,483.36 × 1,530
  4. Step 4: Simplify right side
    2,524.48x = 5,329,540.80
  5. Step 5: Solve for x
    x = 5,329,540.80/2,524.48
  6. Step 6: Final answer
    x = 2,111.14

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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.