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Finding the Fourth Proportional to 3,419.51, 4,718.93 and 1,927.43

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Solution

The fourth proportional to 3,419.51, 4,718.93 and 1,927.43 is: 2,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.51 : 4,718.93 = 1,927.43 : x
  2. Step 2: Convert to fraction form
    3,419.51/4,718.93 = 1,927.43/x
  3. Step 3: Cross multiply
    3,419.51x = 4,718.93 × 1,927.43
  4. Step 4: Simplify right side
    3,419.51x = 9,095,374.02
  5. Step 5: Solve for x
    x = 9,095,374.02/3,419.51
  6. Step 6: Final answer
    x = 2,659.85

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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.