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Finding the Fourth Proportional to 2,842.90, 4,264.35 and 1,199.01

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Solution

The fourth proportional to 2,842.90, 4,264.35 and 1,199.01 is: 1,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.90 : 4,264.35 = 1,199.01 : x
  2. Step 2: Convert to fraction form
    2,842.90/4,264.35 = 1,199.01/x
  3. Step 3: Cross multiply
    2,842.90x = 4,264.35 × 1,199.01
  4. Step 4: Simplify right side
    2,842.90x = 5,112,998.29
  5. Step 5: Solve for x
    x = 5,112,998.29/2,842.90
  6. Step 6: Final answer
    x = 1,798.52

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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.