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Finding the Fourth Proportional to 2,073.40, 2,860.82 and 1,188.74

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Solution

The fourth proportional to 2,073.40, 2,860.82 and 1,188.74 is: 1,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.40 : 2,860.82 = 1,188.74 : x
  2. Step 2: Convert to fraction form
    2,073.40/2,860.82 = 1,188.74/x
  3. Step 3: Cross multiply
    2,073.40x = 2,860.82 × 1,188.74
  4. Step 4: Simplify right side
    2,073.40x = 3,400,776.83
  5. Step 5: Solve for x
    x = 3,400,776.83/2,073.40
  6. Step 6: Final answer
    x = 1,640.20

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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.