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Finding the Fourth Proportional to 1,842.03, 2,541.98 and 1,014.03

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Solution

The fourth proportional to 1,842.03, 2,541.98 and 1,014.03 is: 1,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.03 : 2,541.98 = 1,014.03 : x
  2. Step 2: Convert to fraction form
    1,842.03/2,541.98 = 1,014.03/x
  3. Step 3: Cross multiply
    1,842.03x = 2,541.98 × 1,014.03
  4. Step 4: Simplify right side
    1,842.03x = 2,577,638.91
  5. Step 5: Solve for x
    x = 2,577,638.91/1,842.03
  6. Step 6: Final answer
    x = 1,399.35

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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.