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Finding the Fourth Proportional to 2,988.70, 4,483.52 and 797.60

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Solution

The fourth proportional to 2,988.70, 4,483.52 and 797.60 is: 1,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.70 : 4,483.52 = 797.60 : x
  2. Step 2: Convert to fraction form
    2,988.70/4,483.52 = 797.60/x
  3. Step 3: Cross multiply
    2,988.70x = 4,483.52 × 797.60
  4. Step 4: Simplify right side
    2,988.70x = 3,576,055.55
  5. Step 5: Solve for x
    x = 3,576,055.55/2,988.70
  6. Step 6: Final answer
    x = 1,196.53

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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.