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Finding the Fourth Proportional to 2,703.54, 4,051.65 and 1,469.10

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Solution

The fourth proportional to 2,703.54, 4,051.65 and 1,469.10 is: 2,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.54 : 4,051.65 = 1,469.10 : x
  2. Step 2: Convert to fraction form
    2,703.54/4,051.65 = 1,469.10/x
  3. Step 3: Cross multiply
    2,703.54x = 4,051.65 × 1,469.10
  4. Step 4: Simplify right side
    2,703.54x = 5,952,279.02
  5. Step 5: Solve for x
    x = 5,952,279.02/2,703.54
  6. Step 6: Final answer
    x = 2,201.66

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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.