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Finding the Fourth Proportional to 2,055.07, 3,083.07 and 594.34

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Solution

The fourth proportional to 2,055.07, 3,083.07 and 594.34 is: 891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.07 : 3,083.07 = 594.34 : x
  2. Step 2: Convert to fraction form
    2,055.07/3,083.07 = 594.34/x
  3. Step 3: Cross multiply
    2,055.07x = 3,083.07 × 594.34
  4. Step 4: Simplify right side
    2,055.07x = 1,832,383.00
  5. Step 5: Solve for x
    x = 1,832,383.00/2,055.07
  6. Step 6: Final answer
    x = 891.64

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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.