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Finding the Fourth Proportional to 2,524.25, 3,483.47 and 1,420.25

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Solution

The fourth proportional to 2,524.25, 3,483.47 and 1,420.25 is: 1,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.25 : 3,483.47 = 1,420.25 : x
  2. Step 2: Convert to fraction form
    2,524.25/3,483.47 = 1,420.25/x
  3. Step 3: Cross multiply
    2,524.25x = 3,483.47 × 1,420.25
  4. Step 4: Simplify right side
    2,524.25x = 4,947,398.27
  5. Step 5: Solve for x
    x = 4,947,398.27/2,524.25
  6. Step 6: Final answer
    x = 1,959.95

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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.