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Finding the Fourth Proportional to 2,088.42, 3,132.16 and 627.68

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Solution

The fourth proportional to 2,088.42, 3,132.16 and 627.68 is: 941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.42 : 3,132.16 = 627.68 : x
  2. Step 2: Convert to fraction form
    2,088.42/3,132.16 = 627.68/x
  3. Step 3: Cross multiply
    2,088.42x = 3,132.16 × 627.68
  4. Step 4: Simplify right side
    2,088.42x = 1,965,994.19
  5. Step 5: Solve for x
    x = 1,965,994.19/2,088.42
  6. Step 6: Final answer
    x = 941.38

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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.