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Finding the Fourth Proportional to 1,285.04, 1,934.36 and 1,097.12

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Solution

The fourth proportional to 1,285.04, 1,934.36 and 1,097.12 is: 1,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.04 : 1,934.36 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    1,285.04/1,934.36 = 1,097.12/x
  3. Step 3: Cross multiply
    1,285.04x = 1,934.36 × 1,097.12
  4. Step 4: Simplify right side
    1,285.04x = 2,122,209.89
  5. Step 5: Solve for x
    x = 2,122,209.89/1,285.04
  6. Step 6: Final answer
    x = 1,651.48

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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.