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Finding the Fourth Proportional to 3,001.34, 4,502.24 and 810.05

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Solution

The fourth proportional to 3,001.34, 4,502.24 and 810.05 is: 1,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.34 : 4,502.24 = 810.05 : x
  2. Step 2: Convert to fraction form
    3,001.34/4,502.24 = 810.05/x
  3. Step 3: Cross multiply
    3,001.34x = 4,502.24 × 810.05
  4. Step 4: Simplify right side
    3,001.34x = 3,647,039.51
  5. Step 5: Solve for x
    x = 3,647,039.51/3,001.34
  6. Step 6: Final answer
    x = 1,215.14

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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.