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Finding the Fourth Proportional to 2,524.54, 3,483.92 and 1,405.59

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Solution

The fourth proportional to 2,524.54, 3,483.92 and 1,405.59 is: 1,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.54 : 3,483.92 = 1,405.59 : x
  2. Step 2: Convert to fraction form
    2,524.54/3,483.92 = 1,405.59/x
  3. Step 3: Cross multiply
    2,524.54x = 3,483.92 × 1,405.59
  4. Step 4: Simplify right side
    2,524.54x = 4,896,963.11
  5. Step 5: Solve for x
    x = 4,896,963.11/2,524.54
  6. Step 6: Final answer
    x = 1,939.74

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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.