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Finding the Fourth Proportional to 1,913.54, 2,640.36 and 1,285.10

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Solution

The fourth proportional to 1,913.54, 2,640.36 and 1,285.10 is: 1,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.54 : 2,640.36 = 1,285.10 : x
  2. Step 2: Convert to fraction form
    1,913.54/2,640.36 = 1,285.10/x
  3. Step 3: Cross multiply
    1,913.54x = 2,640.36 × 1,285.10
  4. Step 4: Simplify right side
    1,913.54x = 3,393,126.64
  5. Step 5: Solve for x
    x = 3,393,126.64/1,913.54
  6. Step 6: Final answer
    x = 1,773.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.