Home / 2,182.32-3,011.76-1,298.16

Finding the Fourth Proportional to 2,182.32, 3,011.76 and 1,298.16

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Solution

The fourth proportional to 2,182.32, 3,011.76 and 1,298.16 is: 1,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.32 : 3,011.76 = 1,298.16 : x
  2. Step 2: Convert to fraction form
    2,182.32/3,011.76 = 1,298.16/x
  3. Step 3: Cross multiply
    2,182.32x = 3,011.76 × 1,298.16
  4. Step 4: Simplify right side
    2,182.32x = 3,909,746.36
  5. Step 5: Solve for x
    x = 3,909,746.36/2,182.32
  6. Step 6: Final answer
    x = 1,791.56

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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.