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Finding the Fourth Proportional to 1,706.08, 2,546.66 and 1,464.16

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Solution

The fourth proportional to 1,706.08, 2,546.66 and 1,464.16 is: 2,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.08 : 2,546.66 = 1,464.16 : x
  2. Step 2: Convert to fraction form
    1,706.08/2,546.66 = 1,464.16/x
  3. Step 3: Cross multiply
    1,706.08x = 2,546.66 × 1,464.16
  4. Step 4: Simplify right side
    1,706.08x = 3,728,717.71
  5. Step 5: Solve for x
    x = 3,728,717.71/1,706.08
  6. Step 6: Final answer
    x = 2,185.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.