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Finding the Fourth Proportional to 1,864.35, 2,795.85 and 565.38

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Solution

The fourth proportional to 1,864.35, 2,795.85 and 565.38 is: 847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.35 : 2,795.85 = 565.38 : x
  2. Step 2: Convert to fraction form
    1,864.35/2,795.85 = 565.38/x
  3. Step 3: Cross multiply
    1,864.35x = 2,795.85 × 565.38
  4. Step 4: Simplify right side
    1,864.35x = 1,580,717.67
  5. Step 5: Solve for x
    x = 1,580,717.67/1,864.35
  6. Step 6: Final answer
    x = 847.87

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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.