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Finding the Fourth Proportional to 2,085.80, 3,128.60 and 699.16

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Solution

The fourth proportional to 2,085.80, 3,128.60 and 699.16 is: 1,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.80 : 3,128.60 = 699.16 : x
  2. Step 2: Convert to fraction form
    2,085.80/3,128.60 = 699.16/x
  3. Step 3: Cross multiply
    2,085.80x = 3,128.60 × 699.16
  4. Step 4: Simplify right side
    2,085.80x = 2,187,381.00
  5. Step 5: Solve for x
    x = 2,187,381.00/2,085.80
  6. Step 6: Final answer
    x = 1,048.70

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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.