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Finding the Fourth Proportional to 2,595.52, 3,893.48 and 1,295.88

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Solution

The fourth proportional to 2,595.52, 3,893.48 and 1,295.88 is: 1,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.52 : 3,893.48 = 1,295.88 : x
  2. Step 2: Convert to fraction form
    2,595.52/3,893.48 = 1,295.88/x
  3. Step 3: Cross multiply
    2,595.52x = 3,893.48 × 1,295.88
  4. Step 4: Simplify right side
    2,595.52x = 5,045,482.86
  5. Step 5: Solve for x
    x = 5,045,482.86/2,595.52
  6. Step 6: Final answer
    x = 1,943.92

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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.