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Finding the Fourth Proportional to 3,140.80, 4,705.80 and 1,657.83

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Solution

The fourth proportional to 3,140.80, 4,705.80 and 1,657.83 is: 2,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.80 : 4,705.80 = 1,657.83 : x
  2. Step 2: Convert to fraction form
    3,140.80/4,705.80 = 1,657.83/x
  3. Step 3: Cross multiply
    3,140.80x = 4,705.80 × 1,657.83
  4. Step 4: Simplify right side
    3,140.80x = 7,801,416.41
  5. Step 5: Solve for x
    x = 7,801,416.41/3,140.80
  6. Step 6: Final answer
    x = 2,483.89

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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.