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Finding the Fourth Proportional to 2,072.38, 2,859.90 and 1,140.88

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Solution

The fourth proportional to 2,072.38, 2,859.90 and 1,140.88 is: 1,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.38 : 2,859.90 = 1,140.88 : x
  2. Step 2: Convert to fraction form
    2,072.38/2,859.90 = 1,140.88/x
  3. Step 3: Cross multiply
    2,072.38x = 2,859.90 × 1,140.88
  4. Step 4: Simplify right side
    2,072.38x = 3,262,802.71
  5. Step 5: Solve for x
    x = 3,262,802.71/2,072.38
  6. Step 6: Final answer
    x = 1,574.42

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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.