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Finding the Fourth Proportional to 2,152.83, 2,963.61 and 1,931.70

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Solution

The fourth proportional to 2,152.83, 2,963.61 and 1,931.70 is: 2,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.83 : 2,963.61 = 1,931.70 : x
  2. Step 2: Convert to fraction form
    2,152.83/2,963.61 = 1,931.70/x
  3. Step 3: Cross multiply
    2,152.83x = 2,963.61 × 1,931.70
  4. Step 4: Simplify right side
    2,152.83x = 5,724,805.31
  5. Step 5: Solve for x
    x = 5,724,805.31/2,152.83
  6. Step 6: Final answer
    x = 2,659.20

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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.