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Finding the Fourth Proportional to 2,011.19, 2,774.94 and 1,225.13

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Solution

The fourth proportional to 2,011.19, 2,774.94 and 1,225.13 is: 1,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.19 : 2,774.94 = 1,225.13 : x
  2. Step 2: Convert to fraction form
    2,011.19/2,774.94 = 1,225.13/x
  3. Step 3: Cross multiply
    2,011.19x = 2,774.94 × 1,225.13
  4. Step 4: Simplify right side
    2,011.19x = 3,399,662.24
  5. Step 5: Solve for x
    x = 3,399,662.24/2,011.19
  6. Step 6: Final answer
    x = 1,690.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.