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Finding the Fourth Proportional to 2,842.60, 4,262.56 and 1,062.45

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Solution

The fourth proportional to 2,842.60, 4,262.56 and 1,062.45 is: 1,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.60 : 4,262.56 = 1,062.45 : x
  2. Step 2: Convert to fraction form
    2,842.60/4,262.56 = 1,062.45/x
  3. Step 3: Cross multiply
    2,842.60x = 4,262.56 × 1,062.45
  4. Step 4: Simplify right side
    2,842.60x = 4,528,756.87
  5. Step 5: Solve for x
    x = 4,528,756.87/2,842.60
  6. Step 6: Final answer
    x = 1,593.17

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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.