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Finding the Fourth Proportional to 1,369.90, 1,890.02 and 810.42

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Solution

The fourth proportional to 1,369.90, 1,890.02 and 810.42 is: 1,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.90 : 1,890.02 = 810.42 : x
  2. Step 2: Convert to fraction form
    1,369.90/1,890.02 = 810.42/x
  3. Step 3: Cross multiply
    1,369.90x = 1,890.02 × 810.42
  4. Step 4: Simplify right side
    1,369.90x = 1,531,710.01
  5. Step 5: Solve for x
    x = 1,531,710.01/1,369.90
  6. Step 6: Final answer
    x = 1,118.12

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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.