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Finding the Fourth Proportional to 3,238.74, 4,857.96 and 930.24

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Solution

The fourth proportional to 3,238.74, 4,857.96 and 930.24 is: 1,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.74 : 4,857.96 = 930.24 : x
  2. Step 2: Convert to fraction form
    3,238.74/4,857.96 = 930.24/x
  3. Step 3: Cross multiply
    3,238.74x = 4,857.96 × 930.24
  4. Step 4: Simplify right side
    3,238.74x = 4,519,068.71
  5. Step 5: Solve for x
    x = 4,519,068.71/3,238.74
  6. Step 6: Final answer
    x = 1,395.32

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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.