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Finding the Fourth Proportional to 1,860.85, 2,780.65 and 1,338.40

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Solution

The fourth proportional to 1,860.85, 2,780.65 and 1,338.40 is: 1,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.85 : 2,780.65 = 1,338.40 : x
  2. Step 2: Convert to fraction form
    1,860.85/2,780.65 = 1,338.40/x
  3. Step 3: Cross multiply
    1,860.85x = 2,780.65 × 1,338.40
  4. Step 4: Simplify right side
    1,860.85x = 3,721,621.96
  5. Step 5: Solve for x
    x = 3,721,621.96/1,860.85
  6. Step 6: Final answer
    x = 1,999.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.