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Finding the Fourth Proportional to 1,856.68, 2,785.62 and 1,599.10

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Solution

The fourth proportional to 1,856.68, 2,785.62 and 1,599.10 is: 2,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.68 : 2,785.62 = 1,599.10 : x
  2. Step 2: Convert to fraction form
    1,856.68/2,785.62 = 1,599.10/x
  3. Step 3: Cross multiply
    1,856.68x = 2,785.62 × 1,599.10
  4. Step 4: Simplify right side
    1,856.68x = 4,454,484.94
  5. Step 5: Solve for x
    x = 4,454,484.94/1,856.68
  6. Step 6: Final answer
    x = 2,399.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.