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Finding the Fourth Proportional to 1,568.62, 2,165.70 and 1,009.33

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Solution

The fourth proportional to 1,568.62, 2,165.70 and 1,009.33 is: 1,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.62 : 2,165.70 = 1,009.33 : x
  2. Step 2: Convert to fraction form
    1,568.62/2,165.70 = 1,009.33/x
  3. Step 3: Cross multiply
    1,568.62x = 2,165.70 × 1,009.33
  4. Step 4: Simplify right side
    1,568.62x = 2,185,905.98
  5. Step 5: Solve for x
    x = 2,185,905.98/1,568.62
  6. Step 6: Final answer
    x = 1,393.52

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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.