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Finding the Fourth Proportional to 2,064.66, 2,849.04 and 1,133.16

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Solution

The fourth proportional to 2,064.66, 2,849.04 and 1,133.16 is: 1,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.66 : 2,849.04 = 1,133.16 : x
  2. Step 2: Convert to fraction form
    2,064.66/2,849.04 = 1,133.16/x
  3. Step 3: Cross multiply
    2,064.66x = 2,849.04 × 1,133.16
  4. Step 4: Simplify right side
    2,064.66x = 3,228,418.17
  5. Step 5: Solve for x
    x = 3,228,418.17/2,064.66
  6. Step 6: Final answer
    x = 1,563.66

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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.