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Finding the Fourth Proportional to 1,488.91, 2,054.52 and 859.21

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Solution

The fourth proportional to 1,488.91, 2,054.52 and 859.21 is: 1,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.91 : 2,054.52 = 859.21 : x
  2. Step 2: Convert to fraction form
    1,488.91/2,054.52 = 859.21/x
  3. Step 3: Cross multiply
    1,488.91x = 2,054.52 × 859.21
  4. Step 4: Simplify right side
    1,488.91x = 1,765,264.13
  5. Step 5: Solve for x
    x = 1,765,264.13/1,488.91
  6. Step 6: Final answer
    x = 1,185.61

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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.