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Finding the Fourth Proportional to 2,466.68, 3,401.16 and 2,291.72

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Solution

The fourth proportional to 2,466.68, 3,401.16 and 2,291.72 is: 3,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.68 : 3,401.16 = 2,291.72 : x
  2. Step 2: Convert to fraction form
    2,466.68/3,401.16 = 2,291.72/x
  3. Step 3: Cross multiply
    2,466.68x = 3,401.16 × 2,291.72
  4. Step 4: Simplify right side
    2,466.68x = 7,794,506.40
  5. Step 5: Solve for x
    x = 7,794,506.40/2,466.68
  6. Step 6: Final answer
    x = 3,159.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.