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Finding the Fourth Proportional to 2,085.59, 3,128.43 and 698.67

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Solution

The fourth proportional to 2,085.59, 3,128.43 and 698.67 is: 1,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.59 : 3,128.43 = 698.67 : x
  2. Step 2: Convert to fraction form
    2,085.59/3,128.43 = 698.67/x
  3. Step 3: Cross multiply
    2,085.59x = 3,128.43 × 698.67
  4. Step 4: Simplify right side
    2,085.59x = 2,185,744.74
  5. Step 5: Solve for x
    x = 2,185,744.74/2,085.59
  6. Step 6: Final answer
    x = 1,048.02

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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.