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Finding the Fourth Proportional to 1,610.70, 2,417.19 and 831.31

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Solution

The fourth proportional to 1,610.70, 2,417.19 and 831.31 is: 1,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.70 : 2,417.19 = 831.31 : x
  2. Step 2: Convert to fraction form
    1,610.70/2,417.19 = 831.31/x
  3. Step 3: Cross multiply
    1,610.70x = 2,417.19 × 831.31
  4. Step 4: Simplify right side
    1,610.70x = 2,009,434.22
  5. Step 5: Solve for x
    x = 2,009,434.22/1,610.70
  6. Step 6: Final answer
    x = 1,247.55

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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.