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Finding the Fourth Proportional to 1,486.74, 2,051.46 and 927.12

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Solution

The fourth proportional to 1,486.74, 2,051.46 and 927.12 is: 1,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.74 : 2,051.46 = 927.12 : x
  2. Step 2: Convert to fraction form
    1,486.74/2,051.46 = 927.12/x
  3. Step 3: Cross multiply
    1,486.74x = 2,051.46 × 927.12
  4. Step 4: Simplify right side
    1,486.74x = 1,901,949.60
  5. Step 5: Solve for x
    x = 1,901,949.60/1,486.74
  6. Step 6: Final answer
    x = 1,279.28

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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.