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Finding the Fourth Proportional to 2,522.47, 3,774.47 and 1,482.96

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Solution

The fourth proportional to 2,522.47, 3,774.47 and 1,482.96 is: 2,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.47 : 3,774.47 = 1,482.96 : x
  2. Step 2: Convert to fraction form
    2,522.47/3,774.47 = 1,482.96/x
  3. Step 3: Cross multiply
    2,522.47x = 3,774.47 × 1,482.96
  4. Step 4: Simplify right side
    2,522.47x = 5,597,386.05
  5. Step 5: Solve for x
    x = 5,597,386.05/2,522.47
  6. Step 6: Final answer
    x = 2,219.01

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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.