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Finding the Fourth Proportional to 1,955.19, 2,698.51 and 1,169.24

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Solution

The fourth proportional to 1,955.19, 2,698.51 and 1,169.24 is: 1,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.19 : 2,698.51 = 1,169.24 : x
  2. Step 2: Convert to fraction form
    1,955.19/2,698.51 = 1,169.24/x
  3. Step 3: Cross multiply
    1,955.19x = 2,698.51 × 1,169.24
  4. Step 4: Simplify right side
    1,955.19x = 3,155,189.42
  5. Step 5: Solve for x
    x = 3,155,189.42/1,955.19
  6. Step 6: Final answer
    x = 1,613.75

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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.