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Finding the Fourth Proportional to 2,085.46, 3,128.66 and 698.87

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Solution

The fourth proportional to 2,085.46, 3,128.66 and 698.87 is: 1,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.46 : 3,128.66 = 698.87 : x
  2. Step 2: Convert to fraction form
    2,085.46/3,128.66 = 698.87/x
  3. Step 3: Cross multiply
    2,085.46x = 3,128.66 × 698.87
  4. Step 4: Simplify right side
    2,085.46x = 2,186,526.61
  5. Step 5: Solve for x
    x = 2,186,526.61/2,085.46
  6. Step 6: Final answer
    x = 1,048.46

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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.