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Finding the Fourth Proportional to 2,433.64, 3,650.94 and 894.76

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Solution

The fourth proportional to 2,433.64, 3,650.94 and 894.76 is: 1,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.64 : 3,650.94 = 894.76 : x
  2. Step 2: Convert to fraction form
    2,433.64/3,650.94 = 894.76/x
  3. Step 3: Cross multiply
    2,433.64x = 3,650.94 × 894.76
  4. Step 4: Simplify right side
    2,433.64x = 3,266,715.07
  5. Step 5: Solve for x
    x = 3,266,715.07/2,433.64
  6. Step 6: Final answer
    x = 1,342.32

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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.