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Finding the Fourth Proportional to 1,855.78, 2,561.07 and 1,069.90

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Solution

The fourth proportional to 1,855.78, 2,561.07 and 1,069.90 is: 1,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.78 : 2,561.07 = 1,069.90 : x
  2. Step 2: Convert to fraction form
    1,855.78/2,561.07 = 1,069.90/x
  3. Step 3: Cross multiply
    1,855.78x = 2,561.07 × 1,069.90
  4. Step 4: Simplify right side
    1,855.78x = 2,740,088.79
  5. Step 5: Solve for x
    x = 2,740,088.79/1,855.78
  6. Step 6: Final answer
    x = 1,476.52

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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.