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Finding the Fourth Proportional to 2,963.64, 4,442.40 and 1,113.60

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Solution

The fourth proportional to 2,963.64, 4,442.40 and 1,113.60 is: 1,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.64 : 4,442.40 = 1,113.60 : x
  2. Step 2: Convert to fraction form
    2,963.64/4,442.40 = 1,113.60/x
  3. Step 3: Cross multiply
    2,963.64x = 4,442.40 × 1,113.60
  4. Step 4: Simplify right side
    2,963.64x = 4,947,056.64
  5. Step 5: Solve for x
    x = 4,947,056.64/2,963.64
  6. Step 6: Final answer
    x = 1,669.25

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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.