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Finding the Fourth Proportional to 2,047.08, 3,070.45 and 660.05

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Solution

The fourth proportional to 2,047.08, 3,070.45 and 660.05 is: 990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.08 : 3,070.45 = 660.05 : x
  2. Step 2: Convert to fraction form
    2,047.08/3,070.45 = 660.05/x
  3. Step 3: Cross multiply
    2,047.08x = 3,070.45 × 660.05
  4. Step 4: Simplify right side
    2,047.08x = 2,026,656.55
  5. Step 5: Solve for x
    x = 2,026,656.55/2,047.08
  6. Step 6: Final answer
    x = 990.02

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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.