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Finding the Fourth Proportional to 2,866.60, 4,298.46 and 918.34

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Solution

The fourth proportional to 2,866.60, 4,298.46 and 918.34 is: 1,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.60 : 4,298.46 = 918.34 : x
  2. Step 2: Convert to fraction form
    2,866.60/4,298.46 = 918.34/x
  3. Step 3: Cross multiply
    2,866.60x = 4,298.46 × 918.34
  4. Step 4: Simplify right side
    2,866.60x = 3,947,447.76
  5. Step 5: Solve for x
    x = 3,947,447.76/2,866.60
  6. Step 6: Final answer
    x = 1,377.05

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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.