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Finding the Fourth Proportional to 2,488.04, 3,730.53 and 844.46

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Solution

The fourth proportional to 2,488.04, 3,730.53 and 844.46 is: 1,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.04 : 3,730.53 = 844.46 : x
  2. Step 2: Convert to fraction form
    2,488.04/3,730.53 = 844.46/x
  3. Step 3: Cross multiply
    2,488.04x = 3,730.53 × 844.46
  4. Step 4: Simplify right side
    2,488.04x = 3,150,283.36
  5. Step 5: Solve for x
    x = 3,150,283.36/2,488.04
  6. Step 6: Final answer
    x = 1,266.17

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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.