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Finding the Fourth Proportional to 1,690.90, 2,333.32 and 1,292.83

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Solution

The fourth proportional to 1,690.90, 2,333.32 and 1,292.83 is: 1,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.90 : 2,333.32 = 1,292.83 : x
  2. Step 2: Convert to fraction form
    1,690.90/2,333.32 = 1,292.83/x
  3. Step 3: Cross multiply
    1,690.90x = 2,333.32 × 1,292.83
  4. Step 4: Simplify right side
    1,690.90x = 3,016,586.10
  5. Step 5: Solve for x
    x = 3,016,586.10/1,690.90
  6. Step 6: Final answer
    x = 1,784.01

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