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Finding the Fourth Proportional to 1,686.66, 2,524.73 and 1,071.06

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Solution

The fourth proportional to 1,686.66, 2,524.73 and 1,071.06 is: 1,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.66 : 2,524.73 = 1,071.06 : x
  2. Step 2: Convert to fraction form
    1,686.66/2,524.73 = 1,071.06/x
  3. Step 3: Cross multiply
    1,686.66x = 2,524.73 × 1,071.06
  4. Step 4: Simplify right side
    1,686.66x = 2,704,131.96
  5. Step 5: Solve for x
    x = 2,704,131.96/1,686.66
  6. Step 6: Final answer
    x = 1,603.25

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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.