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Finding the Fourth Proportional to 1,855.23, 2,559.51 and 1,069.11

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Solution

The fourth proportional to 1,855.23, 2,559.51 and 1,069.11 is: 1,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.23 : 2,559.51 = 1,069.11 : x
  2. Step 2: Convert to fraction form
    1,855.23/2,559.51 = 1,069.11/x
  3. Step 3: Cross multiply
    1,855.23x = 2,559.51 × 1,069.11
  4. Step 4: Simplify right side
    1,855.23x = 2,736,397.74
  5. Step 5: Solve for x
    x = 2,736,397.74/1,855.23
  6. Step 6: Final answer
    x = 1,474.96

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