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Finding the Fourth Proportional to 3,111, 4,293.18 and 1,713.84

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Solution

The fourth proportional to 3,111, 4,293.18 and 1,713.84 is: 2,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111 : 4,293.18 = 1,713.84 : x
  2. Step 2: Convert to fraction form
    3,111/4,293.18 = 1,713.84/x
  3. Step 3: Cross multiply
    3,111x = 4,293.18 × 1,713.84
  4. Step 4: Simplify right side
    3,111x = 7,357,823.61
  5. Step 5: Solve for x
    x = 7,357,823.61/3,111
  6. Step 6: Final answer
    x = 2,365.10

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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.