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Finding the Fourth Proportional to 1,632.29, 2,448.62 and 592.78

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Solution

The fourth proportional to 1,632.29, 2,448.62 and 592.78 is: 889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.29 : 2,448.62 = 592.78 : x
  2. Step 2: Convert to fraction form
    1,632.29/2,448.62 = 592.78/x
  3. Step 3: Cross multiply
    1,632.29x = 2,448.62 × 592.78
  4. Step 4: Simplify right side
    1,632.29x = 1,451,492.96
  5. Step 5: Solve for x
    x = 1,451,492.96/1,632.29
  6. Step 6: Final answer
    x = 889.24

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