Home / 2,084.12-2,876.10-1,152.64

Finding the Fourth Proportional to 2,084.12, 2,876.10 and 1,152.64

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Solution

The fourth proportional to 2,084.12, 2,876.10 and 1,152.64 is: 1,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.12 : 2,876.10 = 1,152.64 : x
  2. Step 2: Convert to fraction form
    2,084.12/2,876.10 = 1,152.64/x
  3. Step 3: Cross multiply
    2,084.12x = 2,876.10 × 1,152.64
  4. Step 4: Simplify right side
    2,084.12x = 3,315,107.90
  5. Step 5: Solve for x
    x = 3,315,107.90/2,084.12
  6. Step 6: Final answer
    x = 1,590.65

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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.