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Finding the Fourth Proportional to 1,568.63, 2,162.95 and 1,284.17

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Solution

The fourth proportional to 1,568.63, 2,162.95 and 1,284.17 is: 1,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.63 : 2,162.95 = 1,284.17 : x
  2. Step 2: Convert to fraction form
    1,568.63/2,162.95 = 1,284.17/x
  3. Step 3: Cross multiply
    1,568.63x = 2,162.95 × 1,284.17
  4. Step 4: Simplify right side
    1,568.63x = 2,777,581.48
  5. Step 5: Solve for x
    x = 2,777,581.48/1,568.63
  6. Step 6: Final answer
    x = 1,770.70

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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.