Home / 1,881.64-2,824.06-1,102.36

Finding the Fourth Proportional to 1,881.64, 2,824.06 and 1,102.36

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Solution

The fourth proportional to 1,881.64, 2,824.06 and 1,102.36 is: 1,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.64 : 2,824.06 = 1,102.36 : x
  2. Step 2: Convert to fraction form
    1,881.64/2,824.06 = 1,102.36/x
  3. Step 3: Cross multiply
    1,881.64x = 2,824.06 × 1,102.36
  4. Step 4: Simplify right side
    1,881.64x = 3,113,130.78
  5. Step 5: Solve for x
    x = 3,113,130.78/1,881.64
  6. Step 6: Final answer
    x = 1,654.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.