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Finding the Fourth Proportional to 2,477.02, 3,713.90 and 833.12

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Solution

The fourth proportional to 2,477.02, 3,713.90 and 833.12 is: 1,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.02 : 3,713.90 = 833.12 : x
  2. Step 2: Convert to fraction form
    2,477.02/3,713.90 = 833.12/x
  3. Step 3: Cross multiply
    2,477.02x = 3,713.90 × 833.12
  4. Step 4: Simplify right side
    2,477.02x = 3,094,124.37
  5. Step 5: Solve for x
    x = 3,094,124.37/2,477.02
  6. Step 6: Final answer
    x = 1,249.13

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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.