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Finding the Fourth Proportional to 2,503.69, 3,734.26 and 2,176.45

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Solution

The fourth proportional to 2,503.69, 3,734.26 and 2,176.45 is: 3,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.69 : 3,734.26 = 2,176.45 : x
  2. Step 2: Convert to fraction form
    2,503.69/3,734.26 = 2,176.45/x
  3. Step 3: Cross multiply
    2,503.69x = 3,734.26 × 2,176.45
  4. Step 4: Simplify right side
    2,503.69x = 8,127,430.18
  5. Step 5: Solve for x
    x = 8,127,430.18/2,503.69
  6. Step 6: Final answer
    x = 3,246.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.