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Finding the Fourth Proportional to 2,407.93, 3,610.97 and 946.29

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Solution

The fourth proportional to 2,407.93, 3,610.97 and 946.29 is: 1,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.93 : 3,610.97 = 946.29 : x
  2. Step 2: Convert to fraction form
    2,407.93/3,610.97 = 946.29/x
  3. Step 3: Cross multiply
    2,407.93x = 3,610.97 × 946.29
  4. Step 4: Simplify right side
    2,407.93x = 3,417,024.80
  5. Step 5: Solve for x
    x = 3,417,024.80/2,407.93
  6. Step 6: Final answer
    x = 1,419.07

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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.