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Finding the Fourth Proportional to 1,602.90, 2,212.05 and 1,209.30

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Solution

The fourth proportional to 1,602.90, 2,212.05 and 1,209.30 is: 1,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.90 : 2,212.05 = 1,209.30 : x
  2. Step 2: Convert to fraction form
    1,602.90/2,212.05 = 1,209.30/x
  3. Step 3: Cross multiply
    1,602.90x = 2,212.05 × 1,209.30
  4. Step 4: Simplify right side
    1,602.90x = 2,675,032.07
  5. Step 5: Solve for x
    x = 2,675,032.07/1,602.90
  6. Step 6: Final answer
    x = 1,668.87

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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.