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Finding the Fourth Proportional to 2,466.35, 3,701.14 and 906.36

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Solution

The fourth proportional to 2,466.35, 3,701.14 and 906.36 is: 1,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.35 : 3,701.14 = 906.36 : x
  2. Step 2: Convert to fraction form
    2,466.35/3,701.14 = 906.36/x
  3. Step 3: Cross multiply
    2,466.35x = 3,701.14 × 906.36
  4. Step 4: Simplify right side
    2,466.35x = 3,354,569.92
  5. Step 5: Solve for x
    x = 3,354,569.92/2,466.35
  6. Step 6: Final answer
    x = 1,360.14

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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.