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Finding the Fourth Proportional to 3,415.93, 4,714.43 and 1,924.14

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Solution

The fourth proportional to 3,415.93, 4,714.43 and 1,924.14 is: 2,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.93 : 4,714.43 = 1,924.14 : x
  2. Step 2: Convert to fraction form
    3,415.93/4,714.43 = 1,924.14/x
  3. Step 3: Cross multiply
    3,415.93x = 4,714.43 × 1,924.14
  4. Step 4: Simplify right side
    3,415.93x = 9,071,228.15
  5. Step 5: Solve for x
    x = 9,071,228.15/3,415.93
  6. Step 6: Final answer
    x = 2,655.57

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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.