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Finding the Fourth Proportional to 2,612.60, 3,604.96 and 1,564.66

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Solution

The fourth proportional to 2,612.60, 3,604.96 and 1,564.66 is: 2,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.60 : 3,604.96 = 1,564.66 : x
  2. Step 2: Convert to fraction form
    2,612.60/3,604.96 = 1,564.66/x
  3. Step 3: Cross multiply
    2,612.60x = 3,604.96 × 1,564.66
  4. Step 4: Simplify right side
    2,612.60x = 5,640,536.71
  5. Step 5: Solve for x
    x = 5,640,536.71/2,612.60
  6. Step 6: Final answer
    x = 2,158.97

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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.