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Finding the Fourth Proportional to 1,494.40, 2,230.30 and 1,455.52

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Solution

The fourth proportional to 1,494.40, 2,230.30 and 1,455.52 is: 2,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.40 : 2,230.30 = 1,455.52 : x
  2. Step 2: Convert to fraction form
    1,494.40/2,230.30 = 1,455.52/x
  3. Step 3: Cross multiply
    1,494.40x = 2,230.30 × 1,455.52
  4. Step 4: Simplify right side
    1,494.40x = 3,246,237.04
  5. Step 5: Solve for x
    x = 3,246,237.04/1,494.40
  6. Step 6: Final answer
    x = 2,172.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.