Home / 1,778.14-2,453.78-1,032.16

Finding the Fourth Proportional to 1,778.14, 2,453.78 and 1,032.16

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Solution

The fourth proportional to 1,778.14, 2,453.78 and 1,032.16 is: 1,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.14 : 2,453.78 = 1,032.16 : x
  2. Step 2: Convert to fraction form
    1,778.14/2,453.78 = 1,032.16/x
  3. Step 3: Cross multiply
    1,778.14x = 2,453.78 × 1,032.16
  4. Step 4: Simplify right side
    1,778.14x = 2,532,693.56
  5. Step 5: Solve for x
    x = 2,532,693.56/1,778.14
  6. Step 6: Final answer
    x = 1,424.35

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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.