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Finding the Fourth Proportional to 2,612.68, 3,605.42 and 1,417.61

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Solution

The fourth proportional to 2,612.68, 3,605.42 and 1,417.61 is: 1,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.68 : 3,605.42 = 1,417.61 : x
  2. Step 2: Convert to fraction form
    2,612.68/3,605.42 = 1,417.61/x
  3. Step 3: Cross multiply
    2,612.68x = 3,605.42 × 1,417.61
  4. Step 4: Simplify right side
    2,612.68x = 5,111,079.45
  5. Step 5: Solve for x
    x = 5,111,079.45/2,612.68
  6. Step 6: Final answer
    x = 1,956.26

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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.