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Finding the Fourth Proportional to 2,041.23, 3,061.38 and 580.02

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Solution

The fourth proportional to 2,041.23, 3,061.38 and 580.02 is: 869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.23 : 3,061.38 = 580.02 : x
  2. Step 2: Convert to fraction form
    2,041.23/3,061.38 = 580.02/x
  3. Step 3: Cross multiply
    2,041.23x = 3,061.38 × 580.02
  4. Step 4: Simplify right side
    2,041.23x = 1,775,661.63
  5. Step 5: Solve for x
    x = 1,775,661.63/2,041.23
  6. Step 6: Final answer
    x = 869.90

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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.