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Finding the Fourth Proportional to 3,045.12, 4,202.88 and 1,802.88

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Solution

The fourth proportional to 3,045.12, 4,202.88 and 1,802.88 is: 2,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.12 : 4,202.88 = 1,802.88 : x
  2. Step 2: Convert to fraction form
    3,045.12/4,202.88 = 1,802.88/x
  3. Step 3: Cross multiply
    3,045.12x = 4,202.88 × 1,802.88
  4. Step 4: Simplify right side
    3,045.12x = 7,577,288.29
  5. Step 5: Solve for x
    x = 7,577,288.29/3,045.12
  6. Step 6: Final answer
    x = 2,488.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.