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Finding the Fourth Proportional to 2,203.02, 3,304.64 and 559.58

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Solution

The fourth proportional to 2,203.02, 3,304.64 and 559.58 is: 839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.02 : 3,304.64 = 559.58 : x
  2. Step 2: Convert to fraction form
    2,203.02/3,304.64 = 559.58/x
  3. Step 3: Cross multiply
    2,203.02x = 3,304.64 × 559.58
  4. Step 4: Simplify right side
    2,203.02x = 1,849,210.45
  5. Step 5: Solve for x
    x = 1,849,210.45/2,203.02
  6. Step 6: Final answer
    x = 839.40

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Why These Related Problems?

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