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Finding the Fourth Proportional to 2,911.71, 4,017.96 and 1,652.70

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Solution

The fourth proportional to 2,911.71, 4,017.96 and 1,652.70 is: 2,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.71 : 4,017.96 = 1,652.70 : x
  2. Step 2: Convert to fraction form
    2,911.71/4,017.96 = 1,652.70/x
  3. Step 3: Cross multiply
    2,911.71x = 4,017.96 × 1,652.70
  4. Step 4: Simplify right side
    2,911.71x = 6,640,482.49
  5. Step 5: Solve for x
    x = 6,640,482.49/2,911.71
  6. Step 6: Final answer
    x = 2,280.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.