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Finding the Fourth Proportional to 3,415.13, 4,712.79 and 1,902.68

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Solution

The fourth proportional to 3,415.13, 4,712.79 and 1,902.68 is: 2,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.13 : 4,712.79 = 1,902.68 : x
  2. Step 2: Convert to fraction form
    3,415.13/4,712.79 = 1,902.68/x
  3. Step 3: Cross multiply
    3,415.13x = 4,712.79 × 1,902.68
  4. Step 4: Simplify right side
    3,415.13x = 8,966,931.28
  5. Step 5: Solve for x
    x = 8,966,931.28/3,415.13
  6. Step 6: Final answer
    x = 2,625.65

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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.