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Finding the Fourth Proportional to 1,682.68, 2,322.26 and 1,020.00

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Solution

The fourth proportional to 1,682.68, 2,322.26 and 1,020.00 is: 1,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.68 : 2,322.26 = 1,020.00 : x
  2. Step 2: Convert to fraction form
    1,682.68/2,322.26 = 1,020.00/x
  3. Step 3: Cross multiply
    1,682.68x = 2,322.26 × 1,020.00
  4. Step 4: Simplify right side
    1,682.68x = 2,368,705.31
  5. Step 5: Solve for x
    x = 2,368,705.31/1,682.68
  6. Step 6: Final answer
    x = 1,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.