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Finding the Fourth Proportional to 2,797.16, 4,193.58 and 1,769

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Solution

The fourth proportional to 2,797.16, 4,193.58 and 1,769 is: 2,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.16 : 4,193.58 = 1,769 : x
  2. Step 2: Convert to fraction form
    2,797.16/4,193.58 = 1,769/x
  3. Step 3: Cross multiply
    2,797.16x = 4,193.58 × 1,769
  4. Step 4: Simplify right side
    2,797.16x = 7,418,443.02
  5. Step 5: Solve for x
    x = 7,418,443.02/2,797.16
  6. Step 6: Final answer
    x = 2,652.13

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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.