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Finding the Fourth Proportional to 1,530.45, 2,112.02 and 831.83

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Solution

The fourth proportional to 1,530.45, 2,112.02 and 831.83 is: 1,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.45 : 2,112.02 = 831.83 : x
  2. Step 2: Convert to fraction form
    1,530.45/2,112.02 = 831.83/x
  3. Step 3: Cross multiply
    1,530.45x = 2,112.02 × 831.83
  4. Step 4: Simplify right side
    1,530.45x = 1,756,837.92
  5. Step 5: Solve for x
    x = 1,756,837.92/1,530.45
  6. Step 6: Final answer
    x = 1,147.92

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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.