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Finding the Fourth Proportional to 2,693.74, 4,047.45 and 2,669.14

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Solution

The fourth proportional to 2,693.74, 4,047.45 and 2,669.14 is: 4,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.74 : 4,047.45 = 2,669.14 : x
  2. Step 2: Convert to fraction form
    2,693.74/4,047.45 = 2,669.14/x
  3. Step 3: Cross multiply
    2,693.74x = 4,047.45 × 2,669.14
  4. Step 4: Simplify right side
    2,693.74x = 10,803,210.69
  5. Step 5: Solve for x
    x = 10,803,210.69/2,693.74
  6. Step 6: Final answer
    x = 4,010.49

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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.