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Finding the Fourth Proportional to 1,827.90, 2,727.50 and 1,716.32

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Solution

The fourth proportional to 1,827.90, 2,727.50 and 1,716.32 is: 2,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.90 : 2,727.50 = 1,716.32 : x
  2. Step 2: Convert to fraction form
    1,827.90/2,727.50 = 1,716.32/x
  3. Step 3: Cross multiply
    1,827.90x = 2,727.50 × 1,716.32
  4. Step 4: Simplify right side
    1,827.90x = 4,681,261.04
  5. Step 5: Solve for x
    x = 4,681,261.04/1,827.90
  6. Step 6: Final answer
    x = 2,561.00

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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.