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Finding the Fourth Proportional to 2,647.01, 3,970.49 and 1,538.12

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Solution

The fourth proportional to 2,647.01, 3,970.49 and 1,538.12 is: 2,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.01 : 3,970.49 = 1,538.12 : x
  2. Step 2: Convert to fraction form
    2,647.01/3,970.49 = 1,538.12/x
  3. Step 3: Cross multiply
    2,647.01x = 3,970.49 × 1,538.12
  4. Step 4: Simplify right side
    2,647.01x = 6,107,092.31
  5. Step 5: Solve for x
    x = 6,107,092.31/2,647.01
  6. Step 6: Final answer
    x = 2,307.16

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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.