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Finding the Fourth Proportional to 2,618.16, 3,585.90 and 2,466.69

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Solution

The fourth proportional to 2,618.16, 3,585.90 and 2,466.69 is: 3,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.16 : 3,585.90 = 2,466.69 : x
  2. Step 2: Convert to fraction form
    2,618.16/3,585.90 = 2,466.69/x
  3. Step 3: Cross multiply
    2,618.16x = 3,585.90 × 2,466.69
  4. Step 4: Simplify right side
    2,618.16x = 8,845,303.67
  5. Step 5: Solve for x
    x = 8,845,303.67/2,618.16
  6. Step 6: Final answer
    x = 3,378.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.