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Finding the Fourth Proportional to 2,286.63, 3,430.01 and 987.26

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Solution

The fourth proportional to 2,286.63, 3,430.01 and 987.26 is: 1,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.63 : 3,430.01 = 987.26 : x
  2. Step 2: Convert to fraction form
    2,286.63/3,430.01 = 987.26/x
  3. Step 3: Cross multiply
    2,286.63x = 3,430.01 × 987.26
  4. Step 4: Simplify right side
    2,286.63x = 3,386,296.99
  5. Step 5: Solve for x
    x = 3,386,296.99/2,286.63
  6. Step 6: Final answer
    x = 1,480.91

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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.