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Finding the Fourth Proportional to 2,279.84, 3,146.00 and 1,284.93

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Solution

The fourth proportional to 2,279.84, 3,146.00 and 1,284.93 is: 1,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.84 : 3,146.00 = 1,284.93 : x
  2. Step 2: Convert to fraction form
    2,279.84/3,146.00 = 1,284.93/x
  3. Step 3: Cross multiply
    2,279.84x = 3,146.00 × 1,284.93
  4. Step 4: Simplify right side
    2,279.84x = 4,042,383.36
  5. Step 5: Solve for x
    x = 4,042,383.36/2,279.84
  6. Step 6: Final answer
    x = 1,773.10

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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.