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Finding the Fourth Proportional to 2,605.60, 3,594.76 and 1,661.17

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Solution

The fourth proportional to 2,605.60, 3,594.76 and 1,661.17 is: 2,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.60 : 3,594.76 = 1,661.17 : x
  2. Step 2: Convert to fraction form
    2,605.60/3,594.76 = 1,661.17/x
  3. Step 3: Cross multiply
    2,605.60x = 3,594.76 × 1,661.17
  4. Step 4: Simplify right side
    2,605.60x = 5,971,507.47
  5. Step 5: Solve for x
    x = 5,971,507.47/2,605.60
  6. Step 6: Final answer
    x = 2,291.80

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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.