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Finding the Fourth Proportional to 1,648.55, 2,482.50 and 1,189.50

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Solution

The fourth proportional to 1,648.55, 2,482.50 and 1,189.50 is: 1,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.55 : 2,482.50 = 1,189.50 : x
  2. Step 2: Convert to fraction form
    1,648.55/2,482.50 = 1,189.50/x
  3. Step 3: Cross multiply
    1,648.55x = 2,482.50 × 1,189.50
  4. Step 4: Simplify right side
    1,648.55x = 2,952,933.75
  5. Step 5: Solve for x
    x = 2,952,933.75/1,648.55
  6. Step 6: Final answer
    x = 1,791.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.