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Finding the Fourth Proportional to 1,578.16, 2,368.32 and 1,091.68

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Solution

The fourth proportional to 1,578.16, 2,368.32 and 1,091.68 is: 1,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.16 : 2,368.32 = 1,091.68 : x
  2. Step 2: Convert to fraction form
    1,578.16/2,368.32 = 1,091.68/x
  3. Step 3: Cross multiply
    1,578.16x = 2,368.32 × 1,091.68
  4. Step 4: Simplify right side
    1,578.16x = 2,585,447.58
  5. Step 5: Solve for x
    x = 2,585,447.58/1,578.16
  6. Step 6: Final answer
    x = 1,638.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.