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Finding the Fourth Proportional to 1,760.73, 2,430.27 and 1,097.19

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Solution

The fourth proportional to 1,760.73, 2,430.27 and 1,097.19 is: 1,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.73 : 2,430.27 = 1,097.19 : x
  2. Step 2: Convert to fraction form
    1,760.73/2,430.27 = 1,097.19/x
  3. Step 3: Cross multiply
    1,760.73x = 2,430.27 × 1,097.19
  4. Step 4: Simplify right side
    1,760.73x = 2,666,467.94
  5. Step 5: Solve for x
    x = 2,666,467.94/1,760.73
  6. Step 6: Final answer
    x = 1,514.41

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1.5x scale

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.