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Finding the Fourth Proportional to 2,191.80, 3,024.75 and 1,307.49

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Solution

The fourth proportional to 2,191.80, 3,024.75 and 1,307.49 is: 1,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.80 : 3,024.75 = 1,307.49 : x
  2. Step 2: Convert to fraction form
    2,191.80/3,024.75 = 1,307.49/x
  3. Step 3: Cross multiply
    2,191.80x = 3,024.75 × 1,307.49
  4. Step 4: Simplify right side
    2,191.80x = 3,954,830.38
  5. Step 5: Solve for x
    x = 3,954,830.38/2,191.80
  6. Step 6: Final answer
    x = 1,804.38

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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.