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Finding the Fourth Proportional to 2,552.74, 3,522.77 and 1,433.69

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Solution

The fourth proportional to 2,552.74, 3,522.77 and 1,433.69 is: 1,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.74 : 3,522.77 = 1,433.69 : x
  2. Step 2: Convert to fraction form
    2,552.74/3,522.77 = 1,433.69/x
  3. Step 3: Cross multiply
    2,552.74x = 3,522.77 × 1,433.69
  4. Step 4: Simplify right side
    2,552.74x = 5,050,561.76
  5. Step 5: Solve for x
    x = 5,050,561.76/2,552.74
  6. Step 6: Final answer
    x = 1,978.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.