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Finding the Fourth Proportional to 3,155, 4,726.40 and 1,508.26

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Solution

The fourth proportional to 3,155, 4,726.40 and 1,508.26 is: 2,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155 : 4,726.40 = 1,508.26 : x
  2. Step 2: Convert to fraction form
    3,155/4,726.40 = 1,508.26/x
  3. Step 3: Cross multiply
    3,155x = 4,726.40 × 1,508.26
  4. Step 4: Simplify right side
    3,155x = 7,128,640.06
  5. Step 5: Solve for x
    x = 7,128,640.06/3,155
  6. Step 6: Final answer
    x = 2,259.47

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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.