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Finding the Fourth Proportional to 2,632.51, 3,949.04 and 901.27

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Solution

The fourth proportional to 2,632.51, 3,949.04 and 901.27 is: 1,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.51 : 3,949.04 = 901.27 : x
  2. Step 2: Convert to fraction form
    2,632.51/3,949.04 = 901.27/x
  3. Step 3: Cross multiply
    2,632.51x = 3,949.04 × 901.27
  4. Step 4: Simplify right side
    2,632.51x = 3,559,146.77
  5. Step 5: Solve for x
    x = 3,559,146.77/2,632.51
  6. Step 6: Final answer
    x = 1,352.00

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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.