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Finding the Fourth Proportional to 3,024.35, 4,536.49 and 833.07

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Solution

The fourth proportional to 3,024.35, 4,536.49 and 833.07 is: 1,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.35 : 4,536.49 = 833.07 : x
  2. Step 2: Convert to fraction form
    3,024.35/4,536.49 = 833.07/x
  3. Step 3: Cross multiply
    3,024.35x = 4,536.49 × 833.07
  4. Step 4: Simplify right side
    3,024.35x = 3,779,213.72
  5. Step 5: Solve for x
    x = 3,779,213.72/3,024.35
  6. Step 6: Final answer
    x = 1,249.60

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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.