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Finding the Fourth Proportional to 2,370.39, 3,557.12 and 1,071.87

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Solution

The fourth proportional to 2,370.39, 3,557.12 and 1,071.87 is: 1,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.39 : 3,557.12 = 1,071.87 : x
  2. Step 2: Convert to fraction form
    2,370.39/3,557.12 = 1,071.87/x
  3. Step 3: Cross multiply
    2,370.39x = 3,557.12 × 1,071.87
  4. Step 4: Simplify right side
    2,370.39x = 3,812,770.21
  5. Step 5: Solve for x
    x = 3,812,770.21/2,370.39
  6. Step 6: Final answer
    x = 1,608.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.