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Finding the Fourth Proportional to 1,907.76, 2,862.96 and 675.18

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Solution

The fourth proportional to 1,907.76, 2,862.96 and 675.18 is: 1,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.76 : 2,862.96 = 675.18 : x
  2. Step 2: Convert to fraction form
    1,907.76/2,862.96 = 675.18/x
  3. Step 3: Cross multiply
    1,907.76x = 2,862.96 × 675.18
  4. Step 4: Simplify right side
    1,907.76x = 1,933,013.33
  5. Step 5: Solve for x
    x = 1,933,013.33/1,907.76
  6. Step 6: Final answer
    x = 1,013.24

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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.