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Finding the Fourth Proportional to 1,235.30, 1,851.71 and 946.13

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Solution

The fourth proportional to 1,235.30, 1,851.71 and 946.13 is: 1,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.30 : 1,851.71 = 946.13 : x
  2. Step 2: Convert to fraction form
    1,235.30/1,851.71 = 946.13/x
  3. Step 3: Cross multiply
    1,235.30x = 1,851.71 × 946.13
  4. Step 4: Simplify right side
    1,235.30x = 1,751,944.39
  5. Step 5: Solve for x
    x = 1,751,944.39/1,235.30
  6. Step 6: Final answer
    x = 1,418.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.