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Finding the Fourth Proportional to 2,530.06, 3,792.77 and 885.71

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Solution

The fourth proportional to 2,530.06, 3,792.77 and 885.71 is: 1,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.06 : 3,792.77 = 885.71 : x
  2. Step 2: Convert to fraction form
    2,530.06/3,792.77 = 885.71/x
  3. Step 3: Cross multiply
    2,530.06x = 3,792.77 × 885.71
  4. Step 4: Simplify right side
    2,530.06x = 3,359,277.57
  5. Step 5: Solve for x
    x = 3,359,277.57/2,530.06
  6. Step 6: Final answer
    x = 1,327.75

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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.