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Finding the Fourth Proportional to 1,422.31, 2,135.86 and 929.56

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Solution

The fourth proportional to 1,422.31, 2,135.86 and 929.56 is: 1,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.31 : 2,135.86 = 929.56 : x
  2. Step 2: Convert to fraction form
    1,422.31/2,135.86 = 929.56/x
  3. Step 3: Cross multiply
    1,422.31x = 2,135.86 × 929.56
  4. Step 4: Simplify right side
    1,422.31x = 1,985,402.36
  5. Step 5: Solve for x
    x = 1,985,402.36/1,422.31
  6. Step 6: Final answer
    x = 1,395.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.