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Finding the Fourth Proportional to 1,690.60, 2,535.90 and 1,431.40

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Solution

The fourth proportional to 1,690.60, 2,535.90 and 1,431.40 is: 2,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.60 : 2,535.90 = 1,431.40 : x
  2. Step 2: Convert to fraction form
    1,690.60/2,535.90 = 1,431.40/x
  3. Step 3: Cross multiply
    1,690.60x = 2,535.90 × 1,431.40
  4. Step 4: Simplify right side
    1,690.60x = 3,629,887.26
  5. Step 5: Solve for x
    x = 3,629,887.26/1,690.60
  6. Step 6: Final answer
    x = 2,147.10

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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.