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Finding the Fourth Proportional to 1,368.14, 1,890 and 1,102.19

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Solution

The fourth proportional to 1,368.14, 1,890 and 1,102.19 is: 1,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.14 : 1,890 = 1,102.19 : x
  2. Step 2: Convert to fraction form
    1,368.14/1,890 = 1,102.19/x
  3. Step 3: Cross multiply
    1,368.14x = 1,890 × 1,102.19
  4. Step 4: Simplify right side
    1,368.14x = 2,083,129.65
  5. Step 5: Solve for x
    x = 2,083,129.65/1,368.14
  6. Step 6: Final answer
    x = 1,522.61

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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.