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Finding the Fourth Proportional to 1,825.40, 2,732.02 and 1,606.70

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Solution

The fourth proportional to 1,825.40, 2,732.02 and 1,606.70 is: 2,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.40 : 2,732.02 = 1,606.70 : x
  2. Step 2: Convert to fraction form
    1,825.40/2,732.02 = 1,606.70/x
  3. Step 3: Cross multiply
    1,825.40x = 2,732.02 × 1,606.70
  4. Step 4: Simplify right side
    1,825.40x = 4,389,536.53
  5. Step 5: Solve for x
    x = 4,389,536.53/1,825.40
  6. Step 6: Final answer
    x = 2,404.70

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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.