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Finding the Fourth Proportional to 1,342.77, 2,010.69 and 927.58

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Solution

The fourth proportional to 1,342.77, 2,010.69 and 927.58 is: 1,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.77 : 2,010.69 = 927.58 : x
  2. Step 2: Convert to fraction form
    1,342.77/2,010.69 = 927.58/x
  3. Step 3: Cross multiply
    1,342.77x = 2,010.69 × 927.58
  4. Step 4: Simplify right side
    1,342.77x = 1,865,073.49
  5. Step 5: Solve for x
    x = 1,865,073.49/1,342.77
  6. Step 6: Final answer
    x = 1,388.98

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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.