Home / 2,827.52-3,897.60-2,302.64

Finding the Fourth Proportional to 2,827.52, 3,897.60 and 2,302.64

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Solution

The fourth proportional to 2,827.52, 3,897.60 and 2,302.64 is: 3,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.52 : 3,897.60 = 2,302.64 : x
  2. Step 2: Convert to fraction form
    2,827.52/3,897.60 = 2,302.64/x
  3. Step 3: Cross multiply
    2,827.52x = 3,897.60 × 2,302.64
  4. Step 4: Simplify right side
    2,827.52x = 8,974,769.66
  5. Step 5: Solve for x
    x = 8,974,769.66/2,827.52
  6. Step 6: Final answer
    x = 3,174.08

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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.