Home / 2,038.83-3,056.14-805.74

Finding the Fourth Proportional to 2,038.83, 3,056.14 and 805.74

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Solution

The fourth proportional to 2,038.83, 3,056.14 and 805.74 is: 1,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.83 : 3,056.14 = 805.74 : x
  2. Step 2: Convert to fraction form
    2,038.83/3,056.14 = 805.74/x
  3. Step 3: Cross multiply
    2,038.83x = 3,056.14 × 805.74
  4. Step 4: Simplify right side
    2,038.83x = 2,462,454.24
  5. Step 5: Solve for x
    x = 2,462,454.24/2,038.83
  6. Step 6: Final answer
    x = 1,207.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.