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Finding the Fourth Proportional to 1,279.56, 1,910.56 and 1,146.93

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Solution

The fourth proportional to 1,279.56, 1,910.56 and 1,146.93 is: 1,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.56 : 1,910.56 = 1,146.93 : x
  2. Step 2: Convert to fraction form
    1,279.56/1,910.56 = 1,146.93/x
  3. Step 3: Cross multiply
    1,279.56x = 1,910.56 × 1,146.93
  4. Step 4: Simplify right side
    1,279.56x = 2,191,278.58
  5. Step 5: Solve for x
    x = 2,191,278.58/1,279.56
  6. Step 6: Final answer
    x = 1,712.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.