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Finding the Fourth Proportional to 1,266.99, 1,904.54 and 1,202.19

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Solution

The fourth proportional to 1,266.99, 1,904.54 and 1,202.19 is: 1,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.99 : 1,904.54 = 1,202.19 : x
  2. Step 2: Convert to fraction form
    1,266.99/1,904.54 = 1,202.19/x
  3. Step 3: Cross multiply
    1,266.99x = 1,904.54 × 1,202.19
  4. Step 4: Simplify right side
    1,266.99x = 2,289,612.93
  5. Step 5: Solve for x
    x = 2,289,612.93/1,266.99
  6. Step 6: Final answer
    x = 1,807.13

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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.