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Finding the Fourth Proportional to 1,374.28, 1,897.41 and 926.52

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Solution

The fourth proportional to 1,374.28, 1,897.41 and 926.52 is: 1,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.28 : 1,897.41 = 926.52 : x
  2. Step 2: Convert to fraction form
    1,374.28/1,897.41 = 926.52/x
  3. Step 3: Cross multiply
    1,374.28x = 1,897.41 × 926.52
  4. Step 4: Simplify right side
    1,374.28x = 1,757,988.31
  5. Step 5: Solve for x
    x = 1,757,988.31/1,374.28
  6. Step 6: Final answer
    x = 1,279.21

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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.