Home / 2,089.20-2,883.12-1,157.70

Finding the Fourth Proportional to 2,089.20, 2,883.12 and 1,157.70

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Solution

The fourth proportional to 2,089.20, 2,883.12 and 1,157.70 is: 1,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.20 : 2,883.12 = 1,157.70 : x
  2. Step 2: Convert to fraction form
    2,089.20/2,883.12 = 1,157.70/x
  3. Step 3: Cross multiply
    2,089.20x = 2,883.12 × 1,157.70
  4. Step 4: Simplify right side
    2,089.20x = 3,337,788.02
  5. Step 5: Solve for x
    x = 3,337,788.02/2,089.20
  6. Step 6: Final answer
    x = 1,597.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.