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Finding the Fourth Proportional to 1,690.80, 2,333.20 and 992.16

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Solution

The fourth proportional to 1,690.80, 2,333.20 and 992.16 is: 1,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.80 : 2,333.20 = 992.16 : x
  2. Step 2: Convert to fraction form
    1,690.80/2,333.20 = 992.16/x
  3. Step 3: Cross multiply
    1,690.80x = 2,333.20 × 992.16
  4. Step 4: Simplify right side
    1,690.80x = 2,314,907.71
  5. Step 5: Solve for x
    x = 2,314,907.71/1,690.80
  6. Step 6: Final answer
    x = 1,369.12

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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.