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Finding the Fourth Proportional to 3,219.42, 4,829.70 and 1,488

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Solution

The fourth proportional to 3,219.42, 4,829.70 and 1,488 is: 2,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.42 : 4,829.70 = 1,488 : x
  2. Step 2: Convert to fraction form
    3,219.42/4,829.70 = 1,488/x
  3. Step 3: Cross multiply
    3,219.42x = 4,829.70 × 1,488
  4. Step 4: Simplify right side
    3,219.42x = 7,186,593.60
  5. Step 5: Solve for x
    x = 7,186,593.60/3,219.42
  6. Step 6: Final answer
    x = 2,232.26

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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.