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Finding the Fourth Proportional to 1,686.02, 2,527.80 and 852.53

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Solution

The fourth proportional to 1,686.02, 2,527.80 and 852.53 is: 1,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.02 : 2,527.80 = 852.53 : x
  2. Step 2: Convert to fraction form
    1,686.02/2,527.80 = 852.53/x
  3. Step 3: Cross multiply
    1,686.02x = 2,527.80 × 852.53
  4. Step 4: Simplify right side
    1,686.02x = 2,155,025.33
  5. Step 5: Solve for x
    x = 2,155,025.33/1,686.02
  6. Step 6: Final answer
    x = 1,278.17

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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.