Home / 2,031.32-2,802.72-1,147.16

Finding the Fourth Proportional to 2,031.32, 2,802.72 and 1,147.16

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Solution

The fourth proportional to 2,031.32, 2,802.72 and 1,147.16 is: 1,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.32 : 2,802.72 = 1,147.16 : x
  2. Step 2: Convert to fraction form
    2,031.32/2,802.72 = 1,147.16/x
  3. Step 3: Cross multiply
    2,031.32x = 2,802.72 × 1,147.16
  4. Step 4: Simplify right side
    2,031.32x = 3,215,168.28
  5. Step 5: Solve for x
    x = 3,215,168.28/2,031.32
  6. Step 6: Final answer
    x = 1,582.80

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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.