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Finding the Fourth Proportional to 1,725.71, 2,380.19 and 1,062.32

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Solution

The fourth proportional to 1,725.71, 2,380.19 and 1,062.32 is: 1,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.71 : 2,380.19 = 1,062.32 : x
  2. Step 2: Convert to fraction form
    1,725.71/2,380.19 = 1,062.32/x
  3. Step 3: Cross multiply
    1,725.71x = 2,380.19 × 1,062.32
  4. Step 4: Simplify right side
    1,725.71x = 2,528,506.23
  5. Step 5: Solve for x
    x = 2,528,506.23/1,725.71
  6. Step 6: Final answer
    x = 1,465.20

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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.