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Finding the Fourth Proportional to 1,354.61, 2,018.42 and 1,209.21

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Solution

The fourth proportional to 1,354.61, 2,018.42 and 1,209.21 is: 1,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.61 : 2,018.42 = 1,209.21 : x
  2. Step 2: Convert to fraction form
    1,354.61/2,018.42 = 1,209.21/x
  3. Step 3: Cross multiply
    1,354.61x = 2,018.42 × 1,209.21
  4. Step 4: Simplify right side
    1,354.61x = 2,440,687.60
  5. Step 5: Solve for x
    x = 2,440,687.60/1,354.61
  6. Step 6: Final answer
    x = 1,801.77

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1.5x scale

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.