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Finding the Fourth Proportional to 2,059.84, 2,842.53 and 1,471.37

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Solution

The fourth proportional to 2,059.84, 2,842.53 and 1,471.37 is: 2,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.84 : 2,842.53 = 1,471.37 : x
  2. Step 2: Convert to fraction form
    2,059.84/2,842.53 = 1,471.37/x
  3. Step 3: Cross multiply
    2,059.84x = 2,842.53 × 1,471.37
  4. Step 4: Simplify right side
    2,059.84x = 4,182,413.37
  5. Step 5: Solve for x
    x = 4,182,413.37/2,059.84
  6. Step 6: Final answer
    x = 2,030.46

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Why These Related Problems?

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