Home / 1,414.32-2,105.64-1,407.48

Finding the Fourth Proportional to 1,414.32, 2,105.64 and 1,407.48

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Solution

The fourth proportional to 1,414.32, 2,105.64 and 1,407.48 is: 2,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.32 : 2,105.64 = 1,407.48 : x
  2. Step 2: Convert to fraction form
    1,414.32/2,105.64 = 1,407.48/x
  3. Step 3: Cross multiply
    1,414.32x = 2,105.64 × 1,407.48
  4. Step 4: Simplify right side
    1,414.32x = 2,963,646.19
  5. Step 5: Solve for x
    x = 2,963,646.19/1,414.32
  6. Step 6: Final answer
    x = 2,095.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.