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Finding the Fourth Proportional to 2,055.98, 3,084.38 and 595.15

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Solution

The fourth proportional to 2,055.98, 3,084.38 and 595.15 is: 892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.98 : 3,084.38 = 595.15 : x
  2. Step 2: Convert to fraction form
    2,055.98/3,084.38 = 595.15/x
  3. Step 3: Cross multiply
    2,055.98x = 3,084.38 × 595.15
  4. Step 4: Simplify right side
    2,055.98x = 1,835,668.76
  5. Step 5: Solve for x
    x = 1,835,668.76/2,055.98
  6. Step 6: Final answer
    x = 892.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.