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Finding the Fourth Proportional to 2,048.63, 3,071.10 and 749.80

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Solution

The fourth proportional to 2,048.63, 3,071.10 and 749.80 is: 1,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.63 : 3,071.10 = 749.80 : x
  2. Step 2: Convert to fraction form
    2,048.63/3,071.10 = 749.80/x
  3. Step 3: Cross multiply
    2,048.63x = 3,071.10 × 749.80
  4. Step 4: Simplify right side
    2,048.63x = 2,302,695.42
  5. Step 5: Solve for x
    x = 2,302,695.42/2,048.63
  6. Step 6: Final answer
    x = 1,124.02

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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.