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Finding the Fourth Proportional to 3,093.94, 4,641.62 and 1,014.06

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Solution

The fourth proportional to 3,093.94, 4,641.62 and 1,014.06 is: 1,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.94 : 4,641.62 = 1,014.06 : x
  2. Step 2: Convert to fraction form
    3,093.94/4,641.62 = 1,014.06/x
  3. Step 3: Cross multiply
    3,093.94x = 4,641.62 × 1,014.06
  4. Step 4: Simplify right side
    3,093.94x = 4,706,881.18
  5. Step 5: Solve for x
    x = 4,706,881.18/3,093.94
  6. Step 6: Final answer
    x = 1,521.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.