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Finding the Fourth Proportional to 1,727.72, 2,588.74 and 904.76

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Solution

The fourth proportional to 1,727.72, 2,588.74 and 904.76 is: 1,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.72 : 2,588.74 = 904.76 : x
  2. Step 2: Convert to fraction form
    1,727.72/2,588.74 = 904.76/x
  3. Step 3: Cross multiply
    1,727.72x = 2,588.74 × 904.76
  4. Step 4: Simplify right side
    1,727.72x = 2,342,188.40
  5. Step 5: Solve for x
    x = 2,342,188.40/1,727.72
  6. Step 6: Final answer
    x = 1,355.65

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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.