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Finding the Fourth Proportional to 1,814.70, 2,723.42 and 1,259.10

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Solution

The fourth proportional to 1,814.70, 2,723.42 and 1,259.10 is: 1,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.70 : 2,723.42 = 1,259.10 : x
  2. Step 2: Convert to fraction form
    1,814.70/2,723.42 = 1,259.10/x
  3. Step 3: Cross multiply
    1,814.70x = 2,723.42 × 1,259.10
  4. Step 4: Simplify right side
    1,814.70x = 3,429,058.12
  5. Step 5: Solve for x
    x = 3,429,058.12/1,814.70
  6. Step 6: Final answer
    x = 1,889.60

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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.