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Finding the Fourth Proportional to 2,551.47, 3,522.74 and 1,503.87

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Solution

The fourth proportional to 2,551.47, 3,522.74 and 1,503.87 is: 2,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.47 : 3,522.74 = 1,503.87 : x
  2. Step 2: Convert to fraction form
    2,551.47/3,522.74 = 1,503.87/x
  3. Step 3: Cross multiply
    2,551.47x = 3,522.74 × 1,503.87
  4. Step 4: Simplify right side
    2,551.47x = 5,297,735.48
  5. Step 5: Solve for x
    x = 5,297,735.48/2,551.47
  6. Step 6: Final answer
    x = 2,076.35

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Why These Related Problems?

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