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Finding the Fourth Proportional to 2,365.20, 3,547.80 and 2,203.20

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Solution

The fourth proportional to 2,365.20, 3,547.80 and 2,203.20 is: 3,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.20 : 3,547.80 = 2,203.20 : x
  2. Step 2: Convert to fraction form
    2,365.20/3,547.80 = 2,203.20/x
  3. Step 3: Cross multiply
    2,365.20x = 3,547.80 × 2,203.20
  4. Step 4: Simplify right side
    2,365.20x = 7,816,512.96
  5. Step 5: Solve for x
    x = 7,816,512.96/2,365.20
  6. Step 6: Final answer
    x = 3,304.80

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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.