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Finding the Fourth Proportional to 2,403, 3,316.82 and 1,607.85

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Solution

The fourth proportional to 2,403, 3,316.82 and 1,607.85 is: 2,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403 : 3,316.82 = 1,607.85 : x
  2. Step 2: Convert to fraction form
    2,403/3,316.82 = 1,607.85/x
  3. Step 3: Cross multiply
    2,403x = 3,316.82 × 1,607.85
  4. Step 4: Simplify right side
    2,403x = 5,332,941.00
  5. Step 5: Solve for x
    x = 5,332,941.00/2,403
  6. Step 6: Final answer
    x = 2,219.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.