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Finding the Fourth Proportional to 2,782.84, 3,835.04 and 2,037.04

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Solution

The fourth proportional to 2,782.84, 3,835.04 and 2,037.04 is: 2,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.84 : 3,835.04 = 2,037.04 : x
  2. Step 2: Convert to fraction form
    2,782.84/3,835.04 = 2,037.04/x
  3. Step 3: Cross multiply
    2,782.84x = 3,835.04 × 2,037.04
  4. Step 4: Simplify right side
    2,782.84x = 7,812,129.88
  5. Step 5: Solve for x
    x = 7,812,129.88/2,782.84
  6. Step 6: Final answer
    x = 2,807.25

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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.