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Finding the Fourth Proportional to 2,341.85, 3,513.27 and 698.53

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Solution

The fourth proportional to 2,341.85, 3,513.27 and 698.53 is: 1,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.85 : 3,513.27 = 698.53 : x
  2. Step 2: Convert to fraction form
    2,341.85/3,513.27 = 698.53/x
  3. Step 3: Cross multiply
    2,341.85x = 3,513.27 × 698.53
  4. Step 4: Simplify right side
    2,341.85x = 2,454,106.93
  5. Step 5: Solve for x
    x = 2,454,106.93/2,341.85
  6. Step 6: Final answer
    x = 1,047.94

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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.