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Finding the Fourth Proportional to 3,001.79, 4,502.74 and 810.58

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Solution

The fourth proportional to 3,001.79, 4,502.74 and 810.58 is: 1,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.79 : 4,502.74 = 810.58 : x
  2. Step 2: Convert to fraction form
    3,001.79/4,502.74 = 810.58/x
  3. Step 3: Cross multiply
    3,001.79x = 4,502.74 × 810.58
  4. Step 4: Simplify right side
    3,001.79x = 3,649,830.99
  5. Step 5: Solve for x
    x = 3,649,830.99/3,001.79
  6. Step 6: Final answer
    x = 1,215.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.