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Finding the Fourth Proportional to 1,566.94, 2,161.78 and 1,036.07

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Solution

The fourth proportional to 1,566.94, 2,161.78 and 1,036.07 is: 1,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.94 : 2,161.78 = 1,036.07 : x
  2. Step 2: Convert to fraction form
    1,566.94/2,161.78 = 1,036.07/x
  3. Step 3: Cross multiply
    1,566.94x = 2,161.78 × 1,036.07
  4. Step 4: Simplify right side
    1,566.94x = 2,239,758.22
  5. Step 5: Solve for x
    x = 2,239,758.22/1,566.94
  6. Step 6: Final answer
    x = 1,429.39

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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.