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Finding the Fourth Proportional to 1,782.36, 2,687.10 and 1,657.08

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Solution

The fourth proportional to 1,782.36, 2,687.10 and 1,657.08 is: 2,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.36 : 2,687.10 = 1,657.08 : x
  2. Step 2: Convert to fraction form
    1,782.36/2,687.10 = 1,657.08/x
  3. Step 3: Cross multiply
    1,782.36x = 2,687.10 × 1,657.08
  4. Step 4: Simplify right side
    1,782.36x = 4,452,739.67
  5. Step 5: Solve for x
    x = 4,452,739.67/1,782.36
  6. Step 6: Final answer
    x = 2,498.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.