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Finding the Fourth Proportional to 2,656.45, 4,000.12 and 1,968.00

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Solution

The fourth proportional to 2,656.45, 4,000.12 and 1,968.00 is: 2,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.45 : 4,000.12 = 1,968.00 : x
  2. Step 2: Convert to fraction form
    2,656.45/4,000.12 = 1,968.00/x
  3. Step 3: Cross multiply
    2,656.45x = 4,000.12 × 1,968.00
  4. Step 4: Simplify right side
    2,656.45x = 7,872,216.16
  5. Step 5: Solve for x
    x = 7,872,216.16/2,656.45
  6. Step 6: Final answer
    x = 2,963.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.