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Finding the Fourth Proportional to 1,788.95, 2,468.63 and 992.24

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Solution

The fourth proportional to 1,788.95, 2,468.63 and 992.24 is: 1,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.95 : 2,468.63 = 992.24 : x
  2. Step 2: Convert to fraction form
    1,788.95/2,468.63 = 992.24/x
  3. Step 3: Cross multiply
    1,788.95x = 2,468.63 × 992.24
  4. Step 4: Simplify right side
    1,788.95x = 2,449,467.24
  5. Step 5: Solve for x
    x = 2,449,467.24/1,788.95
  6. Step 6: Final answer
    x = 1,369.22

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1.5x scale

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.