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Finding the Fourth Proportional to 2,442.42, 3,656.72 and 2,211.74

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Solution

The fourth proportional to 2,442.42, 3,656.72 and 2,211.74 is: 3,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.42 : 3,656.72 = 2,211.74 : x
  2. Step 2: Convert to fraction form
    2,442.42/3,656.72 = 2,211.74/x
  3. Step 3: Cross multiply
    2,442.42x = 3,656.72 × 2,211.74
  4. Step 4: Simplify right side
    2,442.42x = 8,087,713.89
  5. Step 5: Solve for x
    x = 8,087,713.89/2,442.42
  6. Step 6: Final answer
    x = 3,311.35

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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.