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Finding the Fourth Proportional to 3,017.04, 4,164 and 1,775.04

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Solution

The fourth proportional to 3,017.04, 4,164 and 1,775.04 is: 2,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.04 : 4,164 = 1,775.04 : x
  2. Step 2: Convert to fraction form
    3,017.04/4,164 = 1,775.04/x
  3. Step 3: Cross multiply
    3,017.04x = 4,164 × 1,775.04
  4. Step 4: Simplify right side
    3,017.04x = 7,391,266.56
  5. Step 5: Solve for x
    x = 7,391,266.56/3,017.04
  6. Step 6: Final answer
    x = 2,449.84

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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.