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Finding the Fourth Proportional to 2,357.54, 3,536.15 and 818.02

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Solution

The fourth proportional to 2,357.54, 3,536.15 and 818.02 is: 1,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.54 : 3,536.15 = 818.02 : x
  2. Step 2: Convert to fraction form
    2,357.54/3,536.15 = 818.02/x
  3. Step 3: Cross multiply
    2,357.54x = 3,536.15 × 818.02
  4. Step 4: Simplify right side
    2,357.54x = 2,892,641.42
  5. Step 5: Solve for x
    x = 2,892,641.42/2,357.54
  6. Step 6: Final answer
    x = 1,226.97

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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.