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Finding the Fourth Proportional to 2,466.47, 3,699.78 and 906.93

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Solution

The fourth proportional to 2,466.47, 3,699.78 and 906.93 is: 1,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.47 : 3,699.78 = 906.93 : x
  2. Step 2: Convert to fraction form
    2,466.47/3,699.78 = 906.93/x
  3. Step 3: Cross multiply
    2,466.47x = 3,699.78 × 906.93
  4. Step 4: Simplify right side
    2,466.47x = 3,355,441.48
  5. Step 5: Solve for x
    x = 3,355,441.48/2,466.47
  6. Step 6: Final answer
    x = 1,360.43

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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.