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Finding the Fourth Proportional to 1,873.80, 2,795.13 and 1,657.80

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Solution

The fourth proportional to 1,873.80, 2,795.13 and 1,657.80 is: 2,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.80 : 2,795.13 = 1,657.80 : x
  2. Step 2: Convert to fraction form
    1,873.80/2,795.13 = 1,657.80/x
  3. Step 3: Cross multiply
    1,873.80x = 2,795.13 × 1,657.80
  4. Step 4: Simplify right side
    1,873.80x = 4,633,766.51
  5. Step 5: Solve for x
    x = 4,633,766.51/1,873.80
  6. Step 6: Final answer
    x = 2,472.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.