Home / 1,642.04-2,264.10-1,129.76

Finding the Fourth Proportional to 1,642.04, 2,264.10 and 1,129.76

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Solution

The fourth proportional to 1,642.04, 2,264.10 and 1,129.76 is: 1,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.04 : 2,264.10 = 1,129.76 : x
  2. Step 2: Convert to fraction form
    1,642.04/2,264.10 = 1,129.76/x
  3. Step 3: Cross multiply
    1,642.04x = 2,264.10 × 1,129.76
  4. Step 4: Simplify right side
    1,642.04x = 2,557,889.62
  5. Step 5: Solve for x
    x = 2,557,889.62/1,642.04
  6. Step 6: Final answer
    x = 1,557.75

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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.