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Finding the Fourth Proportional to 2,886.42, 3,983.28 and 1,560.12

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Solution

The fourth proportional to 2,886.42, 3,983.28 and 1,560.12 is: 2,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.42 : 3,983.28 = 1,560.12 : x
  2. Step 2: Convert to fraction form
    2,886.42/3,983.28 = 1,560.12/x
  3. Step 3: Cross multiply
    2,886.42x = 3,983.28 × 1,560.12
  4. Step 4: Simplify right side
    2,886.42x = 6,214,386.99
  5. Step 5: Solve for x
    x = 6,214,386.99/2,886.42
  6. Step 6: Final answer
    x = 2,152.97

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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.