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Finding the Fourth Proportional to 1,294.74, 1,934.11 and 1,164.53

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Solution

The fourth proportional to 1,294.74, 1,934.11 and 1,164.53 is: 1,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.74 : 1,934.11 = 1,164.53 : x
  2. Step 2: Convert to fraction form
    1,294.74/1,934.11 = 1,164.53/x
  3. Step 3: Cross multiply
    1,294.74x = 1,934.11 × 1,164.53
  4. Step 4: Simplify right side
    1,294.74x = 2,252,328.86
  5. Step 5: Solve for x
    x = 2,252,328.86/1,294.74
  6. Step 6: Final answer
    x = 1,739.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.