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Finding the Fourth Proportional to 2,552.88, 3,522.80 and 1,433.93

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Solution

The fourth proportional to 2,552.88, 3,522.80 and 1,433.93 is: 1,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.88 : 3,522.80 = 1,433.93 : x
  2. Step 2: Convert to fraction form
    2,552.88/3,522.80 = 1,433.93/x
  3. Step 3: Cross multiply
    2,552.88x = 3,522.80 × 1,433.93
  4. Step 4: Simplify right side
    2,552.88x = 5,051,434.57
  5. Step 5: Solve for x
    x = 5,051,434.57/2,552.88
  6. Step 6: Final answer
    x = 1,978.72

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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.