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Finding the Fourth Proportional to 2,368.35, 3,552.08 and 808.25

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Solution

The fourth proportional to 2,368.35, 3,552.08 and 808.25 is: 1,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.35 : 3,552.08 = 808.25 : x
  2. Step 2: Convert to fraction form
    2,368.35/3,552.08 = 808.25/x
  3. Step 3: Cross multiply
    2,368.35x = 3,552.08 × 808.25
  4. Step 4: Simplify right side
    2,368.35x = 2,870,946.86
  5. Step 5: Solve for x
    x = 2,870,946.86/2,368.35
  6. Step 6: Final answer
    x = 1,212.21

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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.