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Finding the Fourth Proportional to 2,527.83, 3,792.26 and 1,066.98

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Solution

The fourth proportional to 2,527.83, 3,792.26 and 1,066.98 is: 1,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.83 : 3,792.26 = 1,066.98 : x
  2. Step 2: Convert to fraction form
    2,527.83/3,792.26 = 1,066.98/x
  3. Step 3: Cross multiply
    2,527.83x = 3,792.26 × 1,066.98
  4. Step 4: Simplify right side
    2,527.83x = 4,046,260.24
  5. Step 5: Solve for x
    x = 4,046,260.24/2,527.83
  6. Step 6: Final answer
    x = 1,600.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.