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Finding the Fourth Proportional to 2,056.57, 3,085.14 and 669.46

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Solution

The fourth proportional to 2,056.57, 3,085.14 and 669.46 is: 1,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.57 : 3,085.14 = 669.46 : x
  2. Step 2: Convert to fraction form
    2,056.57/3,085.14 = 669.46/x
  3. Step 3: Cross multiply
    2,056.57x = 3,085.14 × 669.46
  4. Step 4: Simplify right side
    2,056.57x = 2,065,377.82
  5. Step 5: Solve for x
    x = 2,065,377.82/2,056.57
  6. Step 6: Final answer
    x = 1,004.28

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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.