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Finding the Fourth Proportional to 2,019.60, 2,787 and 1,320.96

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Solution

The fourth proportional to 2,019.60, 2,787 and 1,320.96 is: 1,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.60 : 2,787 = 1,320.96 : x
  2. Step 2: Convert to fraction form
    2,019.60/2,787 = 1,320.96/x
  3. Step 3: Cross multiply
    2,019.60x = 2,787 × 1,320.96
  4. Step 4: Simplify right side
    2,019.60x = 3,681,515.52
  5. Step 5: Solve for x
    x = 3,681,515.52/2,019.60
  6. Step 6: Final answer
    x = 1,822.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.