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Finding the Fourth Proportional to 1,684.51, 2,527.13 and 952.63

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Solution

The fourth proportional to 1,684.51, 2,527.13 and 952.63 is: 1,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.51 : 2,527.13 = 952.63 : x
  2. Step 2: Convert to fraction form
    1,684.51/2,527.13 = 952.63/x
  3. Step 3: Cross multiply
    1,684.51x = 2,527.13 × 952.63
  4. Step 4: Simplify right side
    1,684.51x = 2,407,419.85
  5. Step 5: Solve for x
    x = 2,407,419.85/1,684.51
  6. Step 6: Final answer
    x = 1,429.15

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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.