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Finding the Fourth Proportional to 1,592.53, 2,388.77 and 866.72

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Solution

The fourth proportional to 1,592.53, 2,388.77 and 866.72 is: 1,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.53 : 2,388.77 = 866.72 : x
  2. Step 2: Convert to fraction form
    1,592.53/2,388.77 = 866.72/x
  3. Step 3: Cross multiply
    1,592.53x = 2,388.77 × 866.72
  4. Step 4: Simplify right side
    1,592.53x = 2,070,404.50
  5. Step 5: Solve for x
    x = 2,070,404.50/1,592.53
  6. Step 6: Final answer
    x = 1,300.07

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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.