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Finding the Fourth Proportional to 2,021.54, 3,032.33 and 560.70

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Solution

The fourth proportional to 2,021.54, 3,032.33 and 560.70 is: 841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.54 : 3,032.33 = 560.70 : x
  2. Step 2: Convert to fraction form
    2,021.54/3,032.33 = 560.70/x
  3. Step 3: Cross multiply
    2,021.54x = 3,032.33 × 560.70
  4. Step 4: Simplify right side
    2,021.54x = 1,700,224.63
  5. Step 5: Solve for x
    x = 1,700,224.63/2,021.54
  6. Step 6: Final answer
    x = 841.06

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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.