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Finding the Fourth Proportional to 1,605.68, 2,418.14 and 1,242.80

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Solution

The fourth proportional to 1,605.68, 2,418.14 and 1,242.80 is: 1,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.68 : 2,418.14 = 1,242.80 : x
  2. Step 2: Convert to fraction form
    1,605.68/2,418.14 = 1,242.80/x
  3. Step 3: Cross multiply
    1,605.68x = 2,418.14 × 1,242.80
  4. Step 4: Simplify right side
    1,605.68x = 3,005,264.39
  5. Step 5: Solve for x
    x = 3,005,264.39/1,605.68
  6. Step 6: Final answer
    x = 1,871.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.