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Finding the Fourth Proportional to 2,342.19, 3,513.79 and 698.87

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Solution

The fourth proportional to 2,342.19, 3,513.79 and 698.87 is: 1,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.19 : 3,513.79 = 698.87 : x
  2. Step 2: Convert to fraction form
    2,342.19/3,513.79 = 698.87/x
  3. Step 3: Cross multiply
    2,342.19x = 3,513.79 × 698.87
  4. Step 4: Simplify right side
    2,342.19x = 2,455,682.42
  5. Step 5: Solve for x
    x = 2,455,682.42/2,342.19
  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.