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Finding the Fourth Proportional to 2,242.90, 3,363.42 and 856.74

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Solution

The fourth proportional to 2,242.90, 3,363.42 and 856.74 is: 1,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.90 : 3,363.42 = 856.74 : x
  2. Step 2: Convert to fraction form
    2,242.90/3,363.42 = 856.74/x
  3. Step 3: Cross multiply
    2,242.90x = 3,363.42 × 856.74
  4. Step 4: Simplify right side
    2,242.90x = 2,881,576.45
  5. Step 5: Solve for x
    x = 2,881,576.45/2,242.90
  6. Step 6: Final answer
    x = 1,284.75

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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.