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Finding the Fourth Proportional to 2,041.67, 3,062.55 and 580.93

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Solution

The fourth proportional to 2,041.67, 3,062.55 and 580.93 is: 871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.67 : 3,062.55 = 580.93 : x
  2. Step 2: Convert to fraction form
    2,041.67/3,062.55 = 580.93/x
  3. Step 3: Cross multiply
    2,041.67x = 3,062.55 × 580.93
  4. Step 4: Simplify right side
    2,041.67x = 1,779,127.17
  5. Step 5: Solve for x
    x = 1,779,127.17/2,041.67
  6. Step 6: Final answer
    x = 871.41

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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.