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Finding the Fourth Proportional to 1,854.99, 2,785.66 and 1,647.22

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Solution

The fourth proportional to 1,854.99, 2,785.66 and 1,647.22 is: 2,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.99 : 2,785.66 = 1,647.22 : x
  2. Step 2: Convert to fraction form
    1,854.99/2,785.66 = 1,647.22/x
  3. Step 3: Cross multiply
    1,854.99x = 2,785.66 × 1,647.22
  4. Step 4: Simplify right side
    1,854.99x = 4,588,594.87
  5. Step 5: Solve for x
    x = 4,588,594.87/1,854.99
  6. Step 6: Final answer
    x = 2,473.65

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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.