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Finding the Fourth Proportional to 1,855.08, 2,561.10 and 1,157.40

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Solution

The fourth proportional to 1,855.08, 2,561.10 and 1,157.40 is: 1,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.08 : 2,561.10 = 1,157.40 : x
  2. Step 2: Convert to fraction form
    1,855.08/2,561.10 = 1,157.40/x
  3. Step 3: Cross multiply
    1,855.08x = 2,561.10 × 1,157.40
  4. Step 4: Simplify right side
    1,855.08x = 2,964,217.14
  5. Step 5: Solve for x
    x = 2,964,217.14/1,855.08
  6. Step 6: Final answer
    x = 1,597.89

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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.