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Finding the Fourth Proportional to 2,647.01, 3,970.60 and 1,165.47

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Solution

The fourth proportional to 2,647.01, 3,970.60 and 1,165.47 is: 1,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.01 : 3,970.60 = 1,165.47 : x
  2. Step 2: Convert to fraction form
    2,647.01/3,970.60 = 1,165.47/x
  3. Step 3: Cross multiply
    2,647.01x = 3,970.60 × 1,165.47
  4. Step 4: Simplify right side
    2,647.01x = 4,627,615.18
  5. Step 5: Solve for x
    x = 4,627,615.18/2,647.01
  6. Step 6: Final answer
    x = 1,748.24

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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.