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Finding the Fourth Proportional to 1,690.25, 2,520.47 and 1,573.40

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Solution

The fourth proportional to 1,690.25, 2,520.47 and 1,573.40 is: 2,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.25 : 2,520.47 = 1,573.40 : x
  2. Step 2: Convert to fraction form
    1,690.25/2,520.47 = 1,573.40/x
  3. Step 3: Cross multiply
    1,690.25x = 2,520.47 × 1,573.40
  4. Step 4: Simplify right side
    1,690.25x = 3,965,717.73
  5. Step 5: Solve for x
    x = 3,965,717.73/1,690.25
  6. Step 6: Final answer
    x = 2,346.24

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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.