Home / 1,489.93-2,056.04-826.78

Finding the Fourth Proportional to 1,489.93, 2,056.04 and 826.78

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Solution

The fourth proportional to 1,489.93, 2,056.04 and 826.78 is: 1,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.93 : 2,056.04 = 826.78 : x
  2. Step 2: Convert to fraction form
    1,489.93/2,056.04 = 826.78/x
  3. Step 3: Cross multiply
    1,489.93x = 2,056.04 × 826.78
  4. Step 4: Simplify right side
    1,489.93x = 1,699,892.75
  5. Step 5: Solve for x
    x = 1,699,892.75/1,489.93
  6. Step 6: Final answer
    x = 1,140.92

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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.