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Finding the Fourth Proportional to 1,702.73, 2,552.94 and 591.86

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Solution

The fourth proportional to 1,702.73, 2,552.94 and 591.86 is: 887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.73 : 2,552.94 = 591.86 : x
  2. Step 2: Convert to fraction form
    1,702.73/2,552.94 = 591.86/x
  3. Step 3: Cross multiply
    1,702.73x = 2,552.94 × 591.86
  4. Step 4: Simplify right side
    1,702.73x = 1,510,970.30
  5. Step 5: Solve for x
    x = 1,510,970.30/1,702.73
  6. Step 6: Final answer
    x = 887.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.