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Finding the Fourth Proportional to 2,191.78, 3,022.95 and 1,405.90

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Solution

The fourth proportional to 2,191.78, 3,022.95 and 1,405.90 is: 1,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.78 : 3,022.95 = 1,405.90 : x
  2. Step 2: Convert to fraction form
    2,191.78/3,022.95 = 1,405.90/x
  3. Step 3: Cross multiply
    2,191.78x = 3,022.95 × 1,405.90
  4. Step 4: Simplify right side
    2,191.78x = 4,249,965.41
  5. Step 5: Solve for x
    x = 4,249,965.41/2,191.78
  6. Step 6: Final answer
    x = 1,939.05

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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.