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Finding the Fourth Proportional to 1,551.84, 2,327.76 and 627.39

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Solution

The fourth proportional to 1,551.84, 2,327.76 and 627.39 is: 941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.84 : 2,327.76 = 627.39 : x
  2. Step 2: Convert to fraction form
    1,551.84/2,327.76 = 627.39/x
  3. Step 3: Cross multiply
    1,551.84x = 2,327.76 × 627.39
  4. Step 4: Simplify right side
    1,551.84x = 1,460,410.21
  5. Step 5: Solve for x
    x = 1,460,410.21/1,551.84
  6. Step 6: Final answer
    x = 941.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.