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Finding the Fourth Proportional to 1,509.79, 2,083.27 and 1,066.92

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Solution

The fourth proportional to 1,509.79, 2,083.27 and 1,066.92 is: 1,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.79 : 2,083.27 = 1,066.92 : x
  2. Step 2: Convert to fraction form
    1,509.79/2,083.27 = 1,066.92/x
  3. Step 3: Cross multiply
    1,509.79x = 2,083.27 × 1,066.92
  4. Step 4: Simplify right side
    1,509.79x = 2,222,685.67
  5. Step 5: Solve for x
    x = 2,222,685.67/1,509.79
  6. Step 6: Final answer
    x = 1,472.18

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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.