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Finding the Fourth Proportional to 1,610.61, 2,411.95 and 786.22

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Solution

The fourth proportional to 1,610.61, 2,411.95 and 786.22 is: 1,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.61 : 2,411.95 = 786.22 : x
  2. Step 2: Convert to fraction form
    1,610.61/2,411.95 = 786.22/x
  3. Step 3: Cross multiply
    1,610.61x = 2,411.95 × 786.22
  4. Step 4: Simplify right side
    1,610.61x = 1,896,323.33
  5. Step 5: Solve for x
    x = 1,896,323.33/1,610.61
  6. Step 6: Final answer
    x = 1,177.40

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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.