Home / 2,776-3,831.28-1,714.32

Finding the Fourth Proportional to 2,776, 3,831.28 and 1,714.32

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Solution

The fourth proportional to 2,776, 3,831.28 and 1,714.32 is: 2,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776 : 3,831.28 = 1,714.32 : x
  2. Step 2: Convert to fraction form
    2,776/3,831.28 = 1,714.32/x
  3. Step 3: Cross multiply
    2,776x = 3,831.28 × 1,714.32
  4. Step 4: Simplify right side
    2,776x = 6,568,039.93
  5. Step 5: Solve for x
    x = 6,568,039.93/2,776
  6. Step 6: Final answer
    x = 2,366.01

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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.