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Finding the Fourth Proportional to 2,886.44, 4,325.45 and 2,298.78

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Solution

The fourth proportional to 2,886.44, 4,325.45 and 2,298.78 is: 3,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.44 : 4,325.45 = 2,298.78 : x
  2. Step 2: Convert to fraction form
    2,886.44/4,325.45 = 2,298.78/x
  3. Step 3: Cross multiply
    2,886.44x = 4,325.45 × 2,298.78
  4. Step 4: Simplify right side
    2,886.44x = 9,943,259.39
  5. Step 5: Solve for x
    x = 9,943,259.39/2,886.44
  6. Step 6: Final answer
    x = 3,444.82

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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.