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Finding the Fourth Proportional to 3,419.34, 4,718.64 and 1,927.02

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Solution

The fourth proportional to 3,419.34, 4,718.64 and 1,927.02 is: 2,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.34 : 4,718.64 = 1,927.02 : x
  2. Step 2: Convert to fraction form
    3,419.34/4,718.64 = 1,927.02/x
  3. Step 3: Cross multiply
    3,419.34x = 4,718.64 × 1,927.02
  4. Step 4: Simplify right side
    3,419.34x = 9,092,913.65
  5. Step 5: Solve for x
    x = 9,092,913.65/3,419.34
  6. Step 6: Final answer
    x = 2,659.26

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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.