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Finding the Fourth Proportional to 3,152.69, 4,726.33 and 1,206.26

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Solution

The fourth proportional to 3,152.69, 4,726.33 and 1,206.26 is: 1,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.69 : 4,726.33 = 1,206.26 : x
  2. Step 2: Convert to fraction form
    3,152.69/4,726.33 = 1,206.26/x
  3. Step 3: Cross multiply
    3,152.69x = 4,726.33 × 1,206.26
  4. Step 4: Simplify right side
    3,152.69x = 5,701,182.83
  5. Step 5: Solve for x
    x = 5,701,182.83/3,152.69
  6. Step 6: Final answer
    x = 1,808.36

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