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Finding the Fourth Proportional to 2,552.85, 3,829.74 and 910.35

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Solution

The fourth proportional to 2,552.85, 3,829.74 and 910.35 is: 1,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.85 : 3,829.74 = 910.35 : x
  2. Step 2: Convert to fraction form
    2,552.85/3,829.74 = 910.35/x
  3. Step 3: Cross multiply
    2,552.85x = 3,829.74 × 910.35
  4. Step 4: Simplify right side
    2,552.85x = 3,486,403.81
  5. Step 5: Solve for x
    x = 3,486,403.81/2,552.85
  6. Step 6: Final answer
    x = 1,365.69

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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.