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Finding the Fourth Proportional to 1,773.16, 2,640.59 and 1,727.80

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Solution

The fourth proportional to 1,773.16, 2,640.59 and 1,727.80 is: 2,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.16 : 2,640.59 = 1,727.80 : x
  2. Step 2: Convert to fraction form
    1,773.16/2,640.59 = 1,727.80/x
  3. Step 3: Cross multiply
    1,773.16x = 2,640.59 × 1,727.80
  4. Step 4: Simplify right side
    1,773.16x = 4,562,411.40
  5. Step 5: Solve for x
    x = 4,562,411.40/1,773.16
  6. Step 6: Final answer
    x = 2,573.04

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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.