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Finding the Fourth Proportional to 2,405.32, 3,319.18 and 1,357.18

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Solution

The fourth proportional to 2,405.32, 3,319.18 and 1,357.18 is: 1,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.32 : 3,319.18 = 1,357.18 : x
  2. Step 2: Convert to fraction form
    2,405.32/3,319.18 = 1,357.18/x
  3. Step 3: Cross multiply
    2,405.32x = 3,319.18 × 1,357.18
  4. Step 4: Simplify right side
    2,405.32x = 4,504,724.71
  5. Step 5: Solve for x
    x = 4,504,724.71/2,405.32
  6. Step 6: Final answer
    x = 1,872.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.