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Finding the Fourth Proportional to 2,877.93, 4,319.46 and 2,145.24

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Solution

The fourth proportional to 2,877.93, 4,319.46 and 2,145.24 is: 3,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.93 : 4,319.46 = 2,145.24 : x
  2. Step 2: Convert to fraction form
    2,877.93/4,319.46 = 2,145.24/x
  3. Step 3: Cross multiply
    2,877.93x = 4,319.46 × 2,145.24
  4. Step 4: Simplify right side
    2,877.93x = 9,266,278.37
  5. Step 5: Solve for x
    x = 9,266,278.37/2,877.93
  6. Step 6: Final answer
    x = 3,219.77

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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.