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Finding the Fourth Proportional to 2,482.37, 3,723.89 and 2,024.13

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Solution

The fourth proportional to 2,482.37, 3,723.89 and 2,024.13 is: 3,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.37 : 3,723.89 = 2,024.13 : x
  2. Step 2: Convert to fraction form
    2,482.37/3,723.89 = 2,024.13/x
  3. Step 3: Cross multiply
    2,482.37x = 3,723.89 × 2,024.13
  4. Step 4: Simplify right side
    2,482.37x = 7,537,627.35
  5. Step 5: Solve for x
    x = 7,537,627.35/2,482.37
  6. Step 6: Final answer
    x = 3,036.47

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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.