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Finding the Fourth Proportional to 1,855.56, 2,783.04 and 686.11

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Solution

The fourth proportional to 1,855.56, 2,783.04 and 686.11 is: 1,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.56 : 2,783.04 = 686.11 : x
  2. Step 2: Convert to fraction form
    1,855.56/2,783.04 = 686.11/x
  3. Step 3: Cross multiply
    1,855.56x = 2,783.04 × 686.11
  4. Step 4: Simplify right side
    1,855.56x = 1,909,475.10
  5. Step 5: Solve for x
    x = 1,909,475.10/1,855.56
  6. Step 6: Final answer
    x = 1,029.06

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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.