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Finding the Fourth Proportional to 2,055.90, 3,084.35 and 595.02

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Solution

The fourth proportional to 2,055.90, 3,084.35 and 595.02 is: 892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.90 : 3,084.35 = 595.02 : x
  2. Step 2: Convert to fraction form
    2,055.90/3,084.35 = 595.02/x
  3. Step 3: Cross multiply
    2,055.90x = 3,084.35 × 595.02
  4. Step 4: Simplify right side
    2,055.90x = 1,835,249.94
  5. Step 5: Solve for x
    x = 1,835,249.94/2,055.90
  6. Step 6: Final answer
    x = 892.67

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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.