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Finding the Fourth Proportional to 2,854.56, 4,284.28 and 2,034.84

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Solution

The fourth proportional to 2,854.56, 4,284.28 and 2,034.84 is: 3,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.56 : 4,284.28 = 2,034.84 : x
  2. Step 2: Convert to fraction form
    2,854.56/4,284.28 = 2,034.84/x
  3. Step 3: Cross multiply
    2,854.56x = 4,284.28 × 2,034.84
  4. Step 4: Simplify right side
    2,854.56x = 8,717,824.32
  5. Step 5: Solve for x
    x = 8,717,824.32/2,854.56
  6. Step 6: Final answer
    x = 3,054.00

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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.