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Finding the Fourth Proportional to 1,592.21, 2,387.68 and 496.24

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Solution

The fourth proportional to 1,592.21, 2,387.68 and 496.24 is: 744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.21 : 2,387.68 = 496.24 : x
  2. Step 2: Convert to fraction form
    1,592.21/2,387.68 = 496.24/x
  3. Step 3: Cross multiply
    1,592.21x = 2,387.68 × 496.24
  4. Step 4: Simplify right side
    1,592.21x = 1,184,862.32
  5. Step 5: Solve for x
    x = 1,184,862.32/1,592.21
  6. Step 6: Final answer
    x = 744.16

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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.