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Finding the Fourth Proportional to 2,085.64, 3,127.32 and 698.26

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Solution

The fourth proportional to 2,085.64, 3,127.32 and 698.26 is: 1,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.64 : 3,127.32 = 698.26 : x
  2. Step 2: Convert to fraction form
    2,085.64/3,127.32 = 698.26/x
  3. Step 3: Cross multiply
    2,085.64x = 3,127.32 × 698.26
  4. Step 4: Simplify right side
    2,085.64x = 2,183,682.46
  5. Step 5: Solve for x
    x = 2,183,682.46/2,085.64
  6. Step 6: Final answer
    x = 1,047.01

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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.