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Finding the Fourth Proportional to 2,407.77, 3,610.76 and 946.13

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Solution

The fourth proportional to 2,407.77, 3,610.76 and 946.13 is: 1,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.77 : 3,610.76 = 946.13 : x
  2. Step 2: Convert to fraction form
    2,407.77/3,610.76 = 946.13/x
  3. Step 3: Cross multiply
    2,407.77x = 3,610.76 × 946.13
  4. Step 4: Simplify right side
    2,407.77x = 3,416,225.57
  5. Step 5: Solve for x
    x = 3,416,225.57/2,407.77
  6. Step 6: Final answer
    x = 1,418.83

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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.