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Finding the Fourth Proportional to 1,894.26, 2,834.24 and 1,702.42

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Solution

The fourth proportional to 1,894.26, 2,834.24 and 1,702.42 is: 2,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.26 : 2,834.24 = 1,702.42 : x
  2. Step 2: Convert to fraction form
    1,894.26/2,834.24 = 1,702.42/x
  3. Step 3: Cross multiply
    1,894.26x = 2,834.24 × 1,702.42
  4. Step 4: Simplify right side
    1,894.26x = 4,825,066.86
  5. Step 5: Solve for x
    x = 4,825,066.86/1,894.26
  6. Step 6: Final answer
    x = 2,547.20

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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.