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Finding the Fourth Proportional to 2,060.50, 2,842.23 and 1,471.84

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Solution

The fourth proportional to 2,060.50, 2,842.23 and 1,471.84 is: 2,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.50 : 2,842.23 = 1,471.84 : x
  2. Step 2: Convert to fraction form
    2,060.50/2,842.23 = 1,471.84/x
  3. Step 3: Cross multiply
    2,060.50x = 2,842.23 × 1,471.84
  4. Step 4: Simplify right side
    2,060.50x = 4,183,307.80
  5. Step 5: Solve for x
    x = 4,183,307.80/2,060.50
  6. Step 6: Final answer
    x = 2,030.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.