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Finding the Fourth Proportional to 2,961.56, 4,442.08 and 1,206.74

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Solution

The fourth proportional to 2,961.56, 4,442.08 and 1,206.74 is: 1,810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.56 : 4,442.08 = 1,206.74 : x
  2. Step 2: Convert to fraction form
    2,961.56/4,442.08 = 1,206.74/x
  3. Step 3: Cross multiply
    2,961.56x = 4,442.08 × 1,206.74
  4. Step 4: Simplify right side
    2,961.56x = 5,360,447.75
  5. Step 5: Solve for x
    x = 5,360,447.75/2,961.56
  6. Step 6: Final answer
    x = 1,810.01

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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.