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Finding the Fourth Proportional to 2,416.25, 3,624.38 and 592.25

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Solution

The fourth proportional to 2,416.25, 3,624.38 and 592.25 is: 888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.25 : 3,624.38 = 592.25 : x
  2. Step 2: Convert to fraction form
    2,416.25/3,624.38 = 592.25/x
  3. Step 3: Cross multiply
    2,416.25x = 3,624.38 × 592.25
  4. Step 4: Simplify right side
    2,416.25x = 2,146,536.09
  5. Step 5: Solve for x
    x = 2,146,536.09/2,416.25
  6. Step 6: Final answer
    x = 888.38

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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.