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Finding the Fourth Proportional to 2,962.56, 4,070.88 and 2,651.52

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Solution

The fourth proportional to 2,962.56, 4,070.88 and 2,651.52 is: 3,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.56 : 4,070.88 = 2,651.52 : x
  2. Step 2: Convert to fraction form
    2,962.56/4,070.88 = 2,651.52/x
  3. Step 3: Cross multiply
    2,962.56x = 4,070.88 × 2,651.52
  4. Step 4: Simplify right side
    2,962.56x = 10,794,019.74
  5. Step 5: Solve for x
    x = 10,794,019.74/2,962.56
  6. Step 6: Final answer
    x = 3,643.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.