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Finding the Fourth Proportional to 1,527.62, 2,102.77 and 1,330.79

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Solution

The fourth proportional to 1,527.62, 2,102.77 and 1,330.79 is: 1,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.62 : 2,102.77 = 1,330.79 : x
  2. Step 2: Convert to fraction form
    1,527.62/2,102.77 = 1,330.79/x
  3. Step 3: Cross multiply
    1,527.62x = 2,102.77 × 1,330.79
  4. Step 4: Simplify right side
    1,527.62x = 2,798,347.22
  5. Step 5: Solve for x
    x = 2,798,347.22/1,527.62
  6. Step 6: Final answer
    x = 1,831.83

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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.