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Finding the Fourth Proportional to 3,114.65, 4,298.06 and 1,935.70

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Solution

The fourth proportional to 3,114.65, 4,298.06 and 1,935.70 is: 2,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.65 : 4,298.06 = 1,935.70 : x
  2. Step 2: Convert to fraction form
    3,114.65/4,298.06 = 1,935.70/x
  3. Step 3: Cross multiply
    3,114.65x = 4,298.06 × 1,935.70
  4. Step 4: Simplify right side
    3,114.65x = 8,319,723.57
  5. Step 5: Solve for x
    x = 8,319,723.57/3,114.65
  6. Step 6: Final answer
    x = 2,671.16

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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.