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Finding the Fourth Proportional to 2,472.58, 3,405.76 and 1,725.20

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Solution

The fourth proportional to 2,472.58, 3,405.76 and 1,725.20 is: 2,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.58 : 3,405.76 = 1,725.20 : x
  2. Step 2: Convert to fraction form
    2,472.58/3,405.76 = 1,725.20/x
  3. Step 3: Cross multiply
    2,472.58x = 3,405.76 × 1,725.20
  4. Step 4: Simplify right side
    2,472.58x = 5,875,617.15
  5. Step 5: Solve for x
    x = 5,875,617.15/2,472.58
  6. Step 6: Final answer
    x = 2,376.31

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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.