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Finding the Fourth Proportional to 1,568.61, 2,164.08 and 1,001.66

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Solution

The fourth proportional to 1,568.61, 2,164.08 and 1,001.66 is: 1,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.61 : 2,164.08 = 1,001.66 : x
  2. Step 2: Convert to fraction form
    1,568.61/2,164.08 = 1,001.66/x
  3. Step 3: Cross multiply
    1,568.61x = 2,164.08 × 1,001.66
  4. Step 4: Simplify right side
    1,568.61x = 2,167,667.36
  5. Step 5: Solve for x
    x = 2,167,667.36/1,568.61
  6. Step 6: Final answer
    x = 1,381.90

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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.