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Finding the Fourth Proportional to 1,539.91, 2,122.93 and 1,066.99

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Solution

The fourth proportional to 1,539.91, 2,122.93 and 1,066.99 is: 1,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.91 : 2,122.93 = 1,066.99 : x
  2. Step 2: Convert to fraction form
    1,539.91/2,122.93 = 1,066.99/x
  3. Step 3: Cross multiply
    1,539.91x = 2,122.93 × 1,066.99
  4. Step 4: Simplify right side
    1,539.91x = 2,265,152.54
  5. Step 5: Solve for x
    x = 2,265,152.54/1,539.91
  6. Step 6: Final answer
    x = 1,470.96

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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.