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Finding the Fourth Proportional to 1,937.16, 2,671.92 and 1,347.84

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Solution

The fourth proportional to 1,937.16, 2,671.92 and 1,347.84 is: 1,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.16 : 2,671.92 = 1,347.84 : x
  2. Step 2: Convert to fraction form
    1,937.16/2,671.92 = 1,347.84/x
  3. Step 3: Cross multiply
    1,937.16x = 2,671.92 × 1,347.84
  4. Step 4: Simplify right side
    1,937.16x = 3,601,320.65
  5. Step 5: Solve for x
    x = 3,601,320.65/1,937.16
  6. Step 6: Final answer
    x = 1,859.07

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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.