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Finding the Fourth Proportional to 2,276.90, 3,414.90 and 1,106.90

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Solution

The fourth proportional to 2,276.90, 3,414.90 and 1,106.90 is: 1,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.90 : 3,414.90 = 1,106.90 : x
  2. Step 2: Convert to fraction form
    2,276.90/3,414.90 = 1,106.90/x
  3. Step 3: Cross multiply
    2,276.90x = 3,414.90 × 1,106.90
  4. Step 4: Simplify right side
    2,276.90x = 3,779,952.81
  5. Step 5: Solve for x
    x = 3,779,952.81/2,276.90
  6. Step 6: Final answer
    x = 1,660.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.