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Finding the Fourth Proportional to 2,059.05, 3,085.53 and 945.72

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Solution

The fourth proportional to 2,059.05, 3,085.53 and 945.72 is: 1,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.05 : 3,085.53 = 945.72 : x
  2. Step 2: Convert to fraction form
    2,059.05/3,085.53 = 945.72/x
  3. Step 3: Cross multiply
    2,059.05x = 3,085.53 × 945.72
  4. Step 4: Simplify right side
    2,059.05x = 2,918,050.98
  5. Step 5: Solve for x
    x = 2,918,050.98/2,059.05
  6. Step 6: Final answer
    x = 1,417.18

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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.