Home / 2,089.10-2,882.94-1,157.60

Finding the Fourth Proportional to 2,089.10, 2,882.94 and 1,157.60

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Solution

The fourth proportional to 2,089.10, 2,882.94 and 1,157.60 is: 1,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.10 : 2,882.94 = 1,157.60 : x
  2. Step 2: Convert to fraction form
    2,089.10/2,882.94 = 1,157.60/x
  3. Step 3: Cross multiply
    2,089.10x = 2,882.94 × 1,157.60
  4. Step 4: Simplify right side
    2,089.10x = 3,337,291.34
  5. Step 5: Solve for x
    x = 3,337,291.34/2,089.10
  6. Step 6: Final answer
    x = 1,597.48

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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.