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Finding the Fourth Proportional to 2,534.63, 3,798.77 and 889.18

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Solution

The fourth proportional to 2,534.63, 3,798.77 and 889.18 is: 1,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.63 : 3,798.77 = 889.18 : x
  2. Step 2: Convert to fraction form
    2,534.63/3,798.77 = 889.18/x
  3. Step 3: Cross multiply
    2,534.63x = 3,798.77 × 889.18
  4. Step 4: Simplify right side
    2,534.63x = 3,377,776.37
  5. Step 5: Solve for x
    x = 3,377,776.37/2,534.63
  6. Step 6: Final answer
    x = 1,332.65

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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.