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Finding the Fourth Proportional to 2,866.32, 4,298.76 and 917.46

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Solution

The fourth proportional to 2,866.32, 4,298.76 and 917.46 is: 1,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.32 : 4,298.76 = 917.46 : x
  2. Step 2: Convert to fraction form
    2,866.32/4,298.76 = 917.46/x
  3. Step 3: Cross multiply
    2,866.32x = 4,298.76 × 917.46
  4. Step 4: Simplify right side
    2,866.32x = 3,943,940.35
  5. Step 5: Solve for x
    x = 3,943,940.35/2,866.32
  6. Step 6: Final answer
    x = 1,375.96

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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.