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Finding the Fourth Proportional to 2,483.70, 3,486.90 and 2,483.70

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Solution

The fourth proportional to 2,483.70, 3,486.90 and 2,483.70 is: 3,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.70 : 3,486.90 = 2,483.70 : x
  2. Step 2: Convert to fraction form
    2,483.70/3,486.90 = 2,483.70/x
  3. Step 3: Cross multiply
    2,483.70x = 3,486.90 × 2,483.70
  4. Step 4: Simplify right side
    2,483.70x = 8,660,413.53
  5. Step 5: Solve for x
    x = 8,660,413.53/2,483.70
  6. Step 6: Final answer
    x = 3,486.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.