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Finding the Fourth Proportional to 2,209.35, 3,314.01 and 565.90

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Solution

The fourth proportional to 2,209.35, 3,314.01 and 565.90 is: 848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.35 : 3,314.01 = 565.90 : x
  2. Step 2: Convert to fraction form
    2,209.35/3,314.01 = 565.90/x
  3. Step 3: Cross multiply
    2,209.35x = 3,314.01 × 565.90
  4. Step 4: Simplify right side
    2,209.35x = 1,875,392.10
  5. Step 5: Solve for x
    x = 1,875,392.10/2,209.35
  6. Step 6: Final answer
    x = 848.84

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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.