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Finding the Fourth Proportional to 1,703.11, 2,357.04 and 1,662.21

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Solution

The fourth proportional to 1,703.11, 2,357.04 and 1,662.21 is: 2,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.11 : 2,357.04 = 1,662.21 : x
  2. Step 2: Convert to fraction form
    1,703.11/2,357.04 = 1,662.21/x
  3. Step 3: Cross multiply
    1,703.11x = 2,357.04 × 1,662.21
  4. Step 4: Simplify right side
    1,703.11x = 3,917,895.46
  5. Step 5: Solve for x
    x = 3,917,895.46/1,703.11
  6. Step 6: Final answer
    x = 2,300.44

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1.5x scale

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.