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Finding the Fourth Proportional to 2,021.14, 3,031.68 and 653.14

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Solution

The fourth proportional to 2,021.14, 3,031.68 and 653.14 is: 979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.14 : 3,031.68 = 653.14 : x
  2. Step 2: Convert to fraction form
    2,021.14/3,031.68 = 653.14/x
  3. Step 3: Cross multiply
    2,021.14x = 3,031.68 × 653.14
  4. Step 4: Simplify right side
    2,021.14x = 1,980,111.48
  5. Step 5: Solve for x
    x = 1,980,111.48/2,021.14
  6. Step 6: Final answer
    x = 979.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.