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Finding the Fourth Proportional to 2,055.67, 3,083.55 and 594.93

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Solution

The fourth proportional to 2,055.67, 3,083.55 and 594.93 is: 892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.67 : 3,083.55 = 594.93 : x
  2. Step 2: Convert to fraction form
    2,055.67/3,083.55 = 594.93/x
  3. Step 3: Cross multiply
    2,055.67x = 3,083.55 × 594.93
  4. Step 4: Simplify right side
    2,055.67x = 1,834,496.40
  5. Step 5: Solve for x
    x = 1,834,496.40/2,055.67
  6. Step 6: Final answer
    x = 892.41

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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.