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Finding the Fourth Proportional to 1,855.56, 2,784.42 and 686.39

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Solution

The fourth proportional to 1,855.56, 2,784.42 and 686.39 is: 1,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.56 : 2,784.42 = 686.39 : x
  2. Step 2: Convert to fraction form
    1,855.56/2,784.42 = 686.39/x
  3. Step 3: Cross multiply
    1,855.56x = 2,784.42 × 686.39
  4. Step 4: Simplify right side
    1,855.56x = 1,911,184.12
  5. Step 5: Solve for x
    x = 1,911,184.12/1,855.56
  6. Step 6: Final answer
    x = 1,029.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.