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Finding the Fourth Proportional to 2,109.42, 3,164.12 and 722.77

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Solution

The fourth proportional to 2,109.42, 3,164.12 and 722.77 is: 1,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.42 : 3,164.12 = 722.77 : x
  2. Step 2: Convert to fraction form
    2,109.42/3,164.12 = 722.77/x
  3. Step 3: Cross multiply
    2,109.42x = 3,164.12 × 722.77
  4. Step 4: Simplify right side
    2,109.42x = 2,286,931.01
  5. Step 5: Solve for x
    x = 2,286,931.01/2,109.42
  6. Step 6: Final answer
    x = 1,084.15

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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.