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Finding the Fourth Proportional to 1,895.63, 2,843.13 and 1,346.14

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Solution

The fourth proportional to 1,895.63, 2,843.13 and 1,346.14 is: 2,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.63 : 2,843.13 = 1,346.14 : x
  2. Step 2: Convert to fraction form
    1,895.63/2,843.13 = 1,346.14/x
  3. Step 3: Cross multiply
    1,895.63x = 2,843.13 × 1,346.14
  4. Step 4: Simplify right side
    1,895.63x = 3,827,259.62
  5. Step 5: Solve for x
    x = 3,827,259.62/1,895.63
  6. Step 6: Final answer
    x = 2,019.00

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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.