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Finding the Fourth Proportional to 2,963.60, 4,442.16 and 2,095.28

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Solution

The fourth proportional to 2,963.60, 4,442.16 and 2,095.28 is: 3,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.60 : 4,442.16 = 2,095.28 : x
  2. Step 2: Convert to fraction form
    2,963.60/4,442.16 = 2,095.28/x
  3. Step 3: Cross multiply
    2,963.60x = 4,442.16 × 2,095.28
  4. Step 4: Simplify right side
    2,963.60x = 9,307,569.00
  5. Step 5: Solve for x
    x = 9,307,569.00/2,963.60
  6. Step 6: Final answer
    x = 3,140.63

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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.