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Finding the Fourth Proportional to 1,763.74, 2,434.54 and 1,174.19

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Solution

The fourth proportional to 1,763.74, 2,434.54 and 1,174.19 is: 1,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.74 : 2,434.54 = 1,174.19 : x
  2. Step 2: Convert to fraction form
    1,763.74/2,434.54 = 1,174.19/x
  3. Step 3: Cross multiply
    1,763.74x = 2,434.54 × 1,174.19
  4. Step 4: Simplify right side
    1,763.74x = 2,858,612.52
  5. Step 5: Solve for x
    x = 2,858,612.52/1,763.74
  6. Step 6: Final answer
    x = 1,620.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.