Home / 2,090.40-2,884.86-1,158.96

Finding the Fourth Proportional to 2,090.40, 2,884.86 and 1,158.96

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Solution

The fourth proportional to 2,090.40, 2,884.86 and 1,158.96 is: 1,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.40 : 2,884.86 = 1,158.96 : x
  2. Step 2: Convert to fraction form
    2,090.40/2,884.86 = 1,158.96/x
  3. Step 3: Cross multiply
    2,090.40x = 2,884.86 × 1,158.96
  4. Step 4: Simplify right side
    2,090.40x = 3,343,437.35
  5. Step 5: Solve for x
    x = 3,343,437.35/2,090.40
  6. Step 6: Final answer
    x = 1,599.42

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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.