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Finding the Fourth Proportional to 2,472.03, 3,411.32 and 1,352.95

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Solution

The fourth proportional to 2,472.03, 3,411.32 and 1,352.95 is: 1,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.03 : 3,411.32 = 1,352.95 : x
  2. Step 2: Convert to fraction form
    2,472.03/3,411.32 = 1,352.95/x
  3. Step 3: Cross multiply
    2,472.03x = 3,411.32 × 1,352.95
  4. Step 4: Simplify right side
    2,472.03x = 4,615,341.09
  5. Step 5: Solve for x
    x = 4,615,341.09/2,472.03
  6. Step 6: Final answer
    x = 1,867.02

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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.