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Finding the Fourth Proportional to 2,527.69, 3,792.06 and 1,066.86

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Solution

The fourth proportional to 2,527.69, 3,792.06 and 1,066.86 is: 1,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.69 : 3,792.06 = 1,066.86 : x
  2. Step 2: Convert to fraction form
    2,527.69/3,792.06 = 1,066.86/x
  3. Step 3: Cross multiply
    2,527.69x = 3,792.06 × 1,066.86
  4. Step 4: Simplify right side
    2,527.69x = 4,045,597.13
  5. Step 5: Solve for x
    x = 4,045,597.13/2,527.69
  6. Step 6: Final answer
    x = 1,600.51

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Why These Related Problems?

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