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Finding the Fourth Proportional to 1,706.16, 2,552.58 and 1,296.48

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Solution

The fourth proportional to 1,706.16, 2,552.58 and 1,296.48 is: 1,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.16 : 2,552.58 = 1,296.48 : x
  2. Step 2: Convert to fraction form
    1,706.16/2,552.58 = 1,296.48/x
  3. Step 3: Cross multiply
    1,706.16x = 2,552.58 × 1,296.48
  4. Step 4: Simplify right side
    1,706.16x = 3,309,368.92
  5. Step 5: Solve for x
    x = 3,309,368.92/1,706.16
  6. Step 6: Final answer
    x = 1,939.66

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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.