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Finding the Fourth Proportional to 2,255.76, 3,368.79 and 1,923.12

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Solution

The fourth proportional to 2,255.76, 3,368.79 and 1,923.12 is: 2,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.76 : 3,368.79 = 1,923.12 : x
  2. Step 2: Convert to fraction form
    2,255.76/3,368.79 = 1,923.12/x
  3. Step 3: Cross multiply
    2,255.76x = 3,368.79 × 1,923.12
  4. Step 4: Simplify right side
    2,255.76x = 6,478,587.42
  5. Step 5: Solve for x
    x = 6,478,587.42/2,255.76
  6. Step 6: Final answer
    x = 2,872.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.