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Finding the Fourth Proportional to 1,685.81, 2,525.07 and 1,275.14

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Solution

The fourth proportional to 1,685.81, 2,525.07 and 1,275.14 is: 1,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.81 : 2,525.07 = 1,275.14 : x
  2. Step 2: Convert to fraction form
    1,685.81/2,525.07 = 1,275.14/x
  3. Step 3: Cross multiply
    1,685.81x = 2,525.07 × 1,275.14
  4. Step 4: Simplify right side
    1,685.81x = 3,219,828.85
  5. Step 5: Solve for x
    x = 3,219,828.85/1,685.81
  6. Step 6: Final answer
    x = 1,909.96

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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.