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Finding the Fourth Proportional to 1,411.32, 2,105.07 and 1,368.12

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Solution

The fourth proportional to 1,411.32, 2,105.07 and 1,368.12 is: 2,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.32 : 2,105.07 = 1,368.12 : x
  2. Step 2: Convert to fraction form
    1,411.32/2,105.07 = 1,368.12/x
  3. Step 3: Cross multiply
    1,411.32x = 2,105.07 × 1,368.12
  4. Step 4: Simplify right side
    1,411.32x = 2,879,988.37
  5. Step 5: Solve for x
    x = 2,879,988.37/1,411.32
  6. Step 6: Final answer
    x = 2,040.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.