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Finding the Fourth Proportional to 2,707.83, 4,061.40 and 952.51

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Solution

The fourth proportional to 2,707.83, 4,061.40 and 952.51 is: 1,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.83 : 4,061.40 = 952.51 : x
  2. Step 2: Convert to fraction form
    2,707.83/4,061.40 = 952.51/x
  3. Step 3: Cross multiply
    2,707.83x = 4,061.40 × 952.51
  4. Step 4: Simplify right side
    2,707.83x = 3,868,524.11
  5. Step 5: Solve for x
    x = 3,868,524.11/2,707.83
  6. Step 6: Final answer
    x = 1,428.64

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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.