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Finding the Fourth Proportional to 1,568.81, 2,162.61 and 1,009.10

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Solution

The fourth proportional to 1,568.81, 2,162.61 and 1,009.10 is: 1,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.81 : 2,162.61 = 1,009.10 : x
  2. Step 2: Convert to fraction form
    1,568.81/2,162.61 = 1,009.10/x
  3. Step 3: Cross multiply
    1,568.81x = 2,162.61 × 1,009.10
  4. Step 4: Simplify right side
    1,568.81x = 2,182,278.94
  5. Step 5: Solve for x
    x = 2,182,278.94/1,568.81
  6. Step 6: Final answer
    x = 1,391.05

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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.