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Finding the Fourth Proportional to 3,407.84, 4,702.14 and 1,915.82

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Solution

The fourth proportional to 3,407.84, 4,702.14 and 1,915.82 is: 2,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.84 : 4,702.14 = 1,915.82 : x
  2. Step 2: Convert to fraction form
    3,407.84/4,702.14 = 1,915.82/x
  3. Step 3: Cross multiply
    3,407.84x = 4,702.14 × 1,915.82
  4. Step 4: Simplify right side
    3,407.84x = 9,008,453.85
  5. Step 5: Solve for x
    x = 9,008,453.85/3,407.84
  6. Step 6: Final answer
    x = 2,643.45

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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.