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Finding the Fourth Proportional to 3,187.34, 4,398.45 and 1,790.18

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Solution

The fourth proportional to 3,187.34, 4,398.45 and 1,790.18 is: 2,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.34 : 4,398.45 = 1,790.18 : x
  2. Step 2: Convert to fraction form
    3,187.34/4,398.45 = 1,790.18/x
  3. Step 3: Cross multiply
    3,187.34x = 4,398.45 × 1,790.18
  4. Step 4: Simplify right side
    3,187.34x = 7,874,017.22
  5. Step 5: Solve for x
    x = 7,874,017.22/3,187.34
  6. Step 6: Final answer
    x = 2,470.40

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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.