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Finding the Fourth Proportional to 1,196.15, 1,651.71 and 919.13

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Solution

The fourth proportional to 1,196.15, 1,651.71 and 919.13 is: 1,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.15 : 1,651.71 = 919.13 : x
  2. Step 2: Convert to fraction form
    1,196.15/1,651.71 = 919.13/x
  3. Step 3: Cross multiply
    1,196.15x = 1,651.71 × 919.13
  4. Step 4: Simplify right side
    1,196.15x = 1,518,131.40
  5. Step 5: Solve for x
    x = 1,518,131.40/1,196.15
  6. Step 6: Final answer
    x = 1,269.19

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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.