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Finding the Fourth Proportional to 1,675.71, 2,510.49 and 853.14

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Solution

The fourth proportional to 1,675.71, 2,510.49 and 853.14 is: 1,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.71 : 2,510.49 = 853.14 : x
  2. Step 2: Convert to fraction form
    1,675.71/2,510.49 = 853.14/x
  3. Step 3: Cross multiply
    1,675.71x = 2,510.49 × 853.14
  4. Step 4: Simplify right side
    1,675.71x = 2,141,799.44
  5. Step 5: Solve for x
    x = 2,141,799.44/1,675.71
  6. Step 6: Final answer
    x = 1,278.14

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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.