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Finding the Fourth Proportional to 1,902.64, 2,854.26 and 807

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Solution

The fourth proportional to 1,902.64, 2,854.26 and 807 is: 1,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.64 : 2,854.26 = 807 : x
  2. Step 2: Convert to fraction form
    1,902.64/2,854.26 = 807/x
  3. Step 3: Cross multiply
    1,902.64x = 2,854.26 × 807
  4. Step 4: Simplify right side
    1,902.64x = 2,303,387.82
  5. Step 5: Solve for x
    x = 2,303,387.82/1,902.64
  6. Step 6: Final answer
    x = 1,210.63

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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.