Home / 2,053.32-2,831.40-1,456.44

Finding the Fourth Proportional to 2,053.32, 2,831.40 and 1,456.44

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Solution

The fourth proportional to 2,053.32, 2,831.40 and 1,456.44 is: 2,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.32 : 2,831.40 = 1,456.44 : x
  2. Step 2: Convert to fraction form
    2,053.32/2,831.40 = 1,456.44/x
  3. Step 3: Cross multiply
    2,053.32x = 2,831.40 × 1,456.44
  4. Step 4: Simplify right side
    2,053.32x = 4,123,764.22
  5. Step 5: Solve for x
    x = 4,123,764.22/2,053.32
  6. Step 6: Final answer
    x = 2,008.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.