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Finding the Fourth Proportional to 1,937.98, 2,671.59 and 1,471.42

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Solution

The fourth proportional to 1,937.98, 2,671.59 and 1,471.42 is: 2,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.98 : 2,671.59 = 1,471.42 : x
  2. Step 2: Convert to fraction form
    1,937.98/2,671.59 = 1,471.42/x
  3. Step 3: Cross multiply
    1,937.98x = 2,671.59 × 1,471.42
  4. Step 4: Simplify right side
    1,937.98x = 3,931,030.96
  5. Step 5: Solve for x
    x = 3,931,030.96/1,937.98
  6. Step 6: Final answer
    x = 2,028.42

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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.