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Finding the Fourth Proportional to 1,375.02, 1,896.78 and 876.78

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Solution

The fourth proportional to 1,375.02, 1,896.78 and 876.78 is: 1,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.02 : 1,896.78 = 876.78 : x
  2. Step 2: Convert to fraction form
    1,375.02/1,896.78 = 876.78/x
  3. Step 3: Cross multiply
    1,375.02x = 1,896.78 × 876.78
  4. Step 4: Simplify right side
    1,375.02x = 1,663,058.77
  5. Step 5: Solve for x
    x = 1,663,058.77/1,375.02
  6. Step 6: Final answer
    x = 1,209.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.