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Finding the Fourth Proportional to 1,955.13, 2,934.03 and 1,132.26

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Solution

The fourth proportional to 1,955.13, 2,934.03 and 1,132.26 is: 1,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.13 : 2,934.03 = 1,132.26 : x
  2. Step 2: Convert to fraction form
    1,955.13/2,934.03 = 1,132.26/x
  3. Step 3: Cross multiply
    1,955.13x = 2,934.03 × 1,132.26
  4. Step 4: Simplify right side
    1,955.13x = 3,322,084.81
  5. Step 5: Solve for x
    x = 3,322,084.81/1,955.13
  6. Step 6: Final answer
    x = 1,699.16

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Why These Related Problems?

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