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Finding the Fourth Proportional to 2,648.06, 3,971.17 and 1,005.07

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Solution

The fourth proportional to 2,648.06, 3,971.17 and 1,005.07 is: 1,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.06 : 3,971.17 = 1,005.07 : x
  2. Step 2: Convert to fraction form
    2,648.06/3,971.17 = 1,005.07/x
  3. Step 3: Cross multiply
    2,648.06x = 3,971.17 × 1,005.07
  4. Step 4: Simplify right side
    2,648.06x = 3,991,303.83
  5. Step 5: Solve for x
    x = 3,991,303.83/2,648.06
  6. Step 6: Final answer
    x = 1,507.26

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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.