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Finding the Fourth Proportional to 2,048.08, 3,071.04 and 1,501.60

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Solution

The fourth proportional to 2,048.08, 3,071.04 and 1,501.60 is: 2,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.08 : 3,071.04 = 1,501.60 : x
  2. Step 2: Convert to fraction form
    2,048.08/3,071.04 = 1,501.60/x
  3. Step 3: Cross multiply
    2,048.08x = 3,071.04 × 1,501.60
  4. Step 4: Simplify right side
    2,048.08x = 4,611,473.66
  5. Step 5: Solve for x
    x = 4,611,473.66/2,048.08
  6. Step 6: Final answer
    x = 2,251.61

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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.