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Finding the Fourth Proportional to 1,566.68, 2,146.51 and 1,546.16

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Solution

The fourth proportional to 1,566.68, 2,146.51 and 1,546.16 is: 2,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.68 : 2,146.51 = 1,546.16 : x
  2. Step 2: Convert to fraction form
    1,566.68/2,146.51 = 1,546.16/x
  3. Step 3: Cross multiply
    1,566.68x = 2,146.51 × 1,546.16
  4. Step 4: Simplify right side
    1,566.68x = 3,318,847.90
  5. Step 5: Solve for x
    x = 3,318,847.90/1,566.68
  6. Step 6: Final answer
    x = 2,118.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.