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Finding the Fourth Proportional to 2,049.40, 3,073.60 and 588.40

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Solution

The fourth proportional to 2,049.40, 3,073.60 and 588.40 is: 882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.40 : 3,073.60 = 588.40 : x
  2. Step 2: Convert to fraction form
    2,049.40/3,073.60 = 588.40/x
  3. Step 3: Cross multiply
    2,049.40x = 3,073.60 × 588.40
  4. Step 4: Simplify right side
    2,049.40x = 1,808,506.24
  5. Step 5: Solve for x
    x = 1,808,506.24/2,049.40
  6. Step 6: Final answer
    x = 882.46

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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.