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Finding the Fourth Proportional to 1,388.11, 1,915.91 and 946.19

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Solution

The fourth proportional to 1,388.11, 1,915.91 and 946.19 is: 1,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.11 : 1,915.91 = 946.19 : x
  2. Step 2: Convert to fraction form
    1,388.11/1,915.91 = 946.19/x
  3. Step 3: Cross multiply
    1,388.11x = 1,915.91 × 946.19
  4. Step 4: Simplify right side
    1,388.11x = 1,812,810.15
  5. Step 5: Solve for x
    x = 1,812,810.15/1,388.11
  6. Step 6: Final answer
    x = 1,305.96

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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.