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Finding the Fourth Proportional to 2,681.67, 3,702.60 and 1,737.93

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Solution

The fourth proportional to 2,681.67, 3,702.60 and 1,737.93 is: 2,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.67 : 3,702.60 = 1,737.93 : x
  2. Step 2: Convert to fraction form
    2,681.67/3,702.60 = 1,737.93/x
  3. Step 3: Cross multiply
    2,681.67x = 3,702.60 × 1,737.93
  4. Step 4: Simplify right side
    2,681.67x = 6,434,859.62
  5. Step 5: Solve for x
    x = 6,434,859.62/2,681.67
  6. Step 6: Final answer
    x = 2,399.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.