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Finding the Fourth Proportional to 1,684.68, 2,527.14 and 1,675.08

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Solution

The fourth proportional to 1,684.68, 2,527.14 and 1,675.08 is: 2,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.68 : 2,527.14 = 1,675.08 : x
  2. Step 2: Convert to fraction form
    1,684.68/2,527.14 = 1,675.08/x
  3. Step 3: Cross multiply
    1,684.68x = 2,527.14 × 1,675.08
  4. Step 4: Simplify right side
    1,684.68x = 4,233,161.67
  5. Step 5: Solve for x
    x = 4,233,161.67/1,684.68
  6. Step 6: Final answer
    x = 2,512.74

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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.