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Finding the Fourth Proportional to 2,969.20, 4,460.40 and 2,483.20

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Solution

The fourth proportional to 2,969.20, 4,460.40 and 2,483.20 is: 3,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.20 : 4,460.40 = 2,483.20 : x
  2. Step 2: Convert to fraction form
    2,969.20/4,460.40 = 2,483.20/x
  3. Step 3: Cross multiply
    2,969.20x = 4,460.40 × 2,483.20
  4. Step 4: Simplify right side
    2,969.20x = 11,076,065.28
  5. Step 5: Solve for x
    x = 11,076,065.28/2,969.20
  6. Step 6: Final answer
    x = 3,730.32

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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.