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Finding the Fourth Proportional to 3,215.68, 4,824.62 and 1,483

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Solution

The fourth proportional to 3,215.68, 4,824.62 and 1,483 is: 2,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.68 : 4,824.62 = 1,483 : x
  2. Step 2: Convert to fraction form
    3,215.68/4,824.62 = 1,483/x
  3. Step 3: Cross multiply
    3,215.68x = 4,824.62 × 1,483
  4. Step 4: Simplify right side
    3,215.68x = 7,154,911.46
  5. Step 5: Solve for x
    x = 7,154,911.46/3,215.68
  6. Step 6: Final answer
    x = 2,225.01

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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.