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Finding the Fourth Proportional to 2,466.76, 3,701.55 and 906.55

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Solution

The fourth proportional to 2,466.76, 3,701.55 and 906.55 is: 1,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.76 : 3,701.55 = 906.55 : x
  2. Step 2: Convert to fraction form
    2,466.76/3,701.55 = 906.55/x
  3. Step 3: Cross multiply
    2,466.76x = 3,701.55 × 906.55
  4. Step 4: Simplify right side
    2,466.76x = 3,355,640.15
  5. Step 5: Solve for x
    x = 3,355,640.15/2,466.76
  6. Step 6: Final answer
    x = 1,360.34

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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.