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Finding the Fourth Proportional to 2,968.60, 4,460.10 and 2,651.80

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Solution

The fourth proportional to 2,968.60, 4,460.10 and 2,651.80 is: 3,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.60 : 4,460.10 = 2,651.80 : x
  2. Step 2: Convert to fraction form
    2,968.60/4,460.10 = 2,651.80/x
  3. Step 3: Cross multiply
    2,968.60x = 4,460.10 × 2,651.80
  4. Step 4: Simplify right side
    2,968.60x = 11,827,293.18
  5. Step 5: Solve for x
    x = 11,827,293.18/2,968.60
  6. Step 6: Final answer
    x = 3,984.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.