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Finding the Fourth Proportional to 2,367.90, 3,551.58 and 906.93

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Solution

The fourth proportional to 2,367.90, 3,551.58 and 906.93 is: 1,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.90 : 3,551.58 = 906.93 : x
  2. Step 2: Convert to fraction form
    2,367.90/3,551.58 = 906.93/x
  3. Step 3: Cross multiply
    2,367.90x = 3,551.58 × 906.93
  4. Step 4: Simplify right side
    2,367.90x = 3,221,034.45
  5. Step 5: Solve for x
    x = 3,221,034.45/2,367.90
  6. Step 6: Final answer
    x = 1,360.29

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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.