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Finding the Fourth Proportional to 2,466.64, 3,403.97 and 1,347.59

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Solution

The fourth proportional to 2,466.64, 3,403.97 and 1,347.59 is: 1,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.64 : 3,403.97 = 1,347.59 : x
  2. Step 2: Convert to fraction form
    2,466.64/3,403.97 = 1,347.59/x
  3. Step 3: Cross multiply
    2,466.64x = 3,403.97 × 1,347.59
  4. Step 4: Simplify right side
    2,466.64x = 4,587,155.93
  5. Step 5: Solve for x
    x = 4,587,155.93/2,466.64
  6. Step 6: Final answer
    x = 1,859.68

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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.