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Finding the Fourth Proportional to 1,489.00, 2,055.10 and 859.93

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Solution

The fourth proportional to 1,489.00, 2,055.10 and 859.93 is: 1,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.00 : 2,055.10 = 859.93 : x
  2. Step 2: Convert to fraction form
    1,489.00/2,055.10 = 859.93/x
  3. Step 3: Cross multiply
    1,489.00x = 2,055.10 × 859.93
  4. Step 4: Simplify right side
    1,489.00x = 1,767,227.57
  5. Step 5: Solve for x
    x = 1,767,227.57/1,489.00
  6. Step 6: Final answer
    x = 1,186.86

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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.