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Finding the Fourth Proportional to 2,865.35, 4,298.70 and 917.57

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Solution

The fourth proportional to 2,865.35, 4,298.70 and 917.57 is: 1,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.35 : 4,298.70 = 917.57 : x
  2. Step 2: Convert to fraction form
    2,865.35/4,298.70 = 917.57/x
  3. Step 3: Cross multiply
    2,865.35x = 4,298.70 × 917.57
  4. Step 4: Simplify right side
    2,865.35x = 3,944,358.16
  5. Step 5: Solve for x
    x = 3,944,358.16/2,865.35
  6. Step 6: Final answer
    x = 1,376.57

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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.