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Finding the Fourth Proportional to 2,055.01, 3,083.04 and 594.16

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Solution

The fourth proportional to 2,055.01, 3,083.04 and 594.16 is: 891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.01 : 3,083.04 = 594.16 : x
  2. Step 2: Convert to fraction form
    2,055.01/3,083.04 = 594.16/x
  3. Step 3: Cross multiply
    2,055.01x = 3,083.04 × 594.16
  4. Step 4: Simplify right side
    2,055.01x = 1,831,800.66
  5. Step 5: Solve for x
    x = 1,831,800.66/2,055.01
  6. Step 6: Final answer
    x = 891.38

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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.