Home / 1,193.64-1,780.40-1,157.20

Finding the Fourth Proportional to 1,193.64, 1,780.40 and 1,157.20

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Solution

The fourth proportional to 1,193.64, 1,780.40 and 1,157.20 is: 1,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.64 : 1,780.40 = 1,157.20 : x
  2. Step 2: Convert to fraction form
    1,193.64/1,780.40 = 1,157.20/x
  3. Step 3: Cross multiply
    1,193.64x = 1,780.40 × 1,157.20
  4. Step 4: Simplify right side
    1,193.64x = 2,060,278.88
  5. Step 5: Solve for x
    x = 2,060,278.88/1,193.64
  6. Step 6: Final answer
    x = 1,726.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.