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Finding the Fourth Proportional to 2,055.94, 3,084.06 and 595.10

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Solution

The fourth proportional to 2,055.94, 3,084.06 and 595.10 is: 892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.94 : 3,084.06 = 595.10 : x
  2. Step 2: Convert to fraction form
    2,055.94/3,084.06 = 595.10/x
  3. Step 3: Cross multiply
    2,055.94x = 3,084.06 × 595.10
  4. Step 4: Simplify right side
    2,055.94x = 1,835,324.11
  5. Step 5: Solve for x
    x = 1,835,324.11/2,055.94
  6. Step 6: Final answer
    x = 892.69

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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.