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Finding the Fourth Proportional to 2,842.95, 4,264.97 and 994.59

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Solution

The fourth proportional to 2,842.95, 4,264.97 and 994.59 is: 1,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.95 : 4,264.97 = 994.59 : x
  2. Step 2: Convert to fraction form
    2,842.95/4,264.97 = 994.59/x
  3. Step 3: Cross multiply
    2,842.95x = 4,264.97 × 994.59
  4. Step 4: Simplify right side
    2,842.95x = 4,241,896.51
  5. Step 5: Solve for x
    x = 4,241,896.51/2,842.95
  6. Step 6: Final answer
    x = 1,492.08

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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.