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Finding the Fourth Proportional to 1,530.31, 2,111.83 and 831.69

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Solution

The fourth proportional to 1,530.31, 2,111.83 and 831.69 is: 1,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.31 : 2,111.83 = 831.69 : x
  2. Step 2: Convert to fraction form
    1,530.31/2,111.83 = 831.69/x
  3. Step 3: Cross multiply
    1,530.31x = 2,111.83 × 831.69
  4. Step 4: Simplify right side
    1,530.31x = 1,756,387.89
  5. Step 5: Solve for x
    x = 1,756,387.89/1,530.31
  6. Step 6: Final answer
    x = 1,147.73

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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.