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Finding the Fourth Proportional to 3,054.41, 4,214.11 and 1,795.06

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Solution

The fourth proportional to 3,054.41, 4,214.11 and 1,795.06 is: 2,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.41 : 4,214.11 = 1,795.06 : x
  2. Step 2: Convert to fraction form
    3,054.41/4,214.11 = 1,795.06/x
  3. Step 3: Cross multiply
    3,054.41x = 4,214.11 × 1,795.06
  4. Step 4: Simplify right side
    3,054.41x = 7,564,569.76
  5. Step 5: Solve for x
    x = 7,564,569.76/3,054.41
  6. Step 6: Final answer
    x = 2,476.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.