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Finding the Fourth Proportional to 1,666.15, 2,297.14 and 1,366.29

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Solution

The fourth proportional to 1,666.15, 2,297.14 and 1,366.29 is: 1,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.15 : 2,297.14 = 1,366.29 : x
  2. Step 2: Convert to fraction form
    1,666.15/2,297.14 = 1,366.29/x
  3. Step 3: Cross multiply
    1,666.15x = 2,297.14 × 1,366.29
  4. Step 4: Simplify right side
    1,666.15x = 3,138,559.41
  5. Step 5: Solve for x
    x = 3,138,559.41/1,666.15
  6. Step 6: Final answer
    x = 1,883.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.