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Finding the Fourth Proportional to 2,782.32, 3,841.01 and 1,603.17

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Solution

The fourth proportional to 2,782.32, 3,841.01 and 1,603.17 is: 2,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.32 : 3,841.01 = 1,603.17 : x
  2. Step 2: Convert to fraction form
    2,782.32/3,841.01 = 1,603.17/x
  3. Step 3: Cross multiply
    2,782.32x = 3,841.01 × 1,603.17
  4. Step 4: Simplify right side
    2,782.32x = 6,157,783.99
  5. Step 5: Solve for x
    x = 6,157,783.99/2,782.32
  6. Step 6: Final answer
    x = 2,213.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.