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Finding the Fourth Proportional to 2,047.19, 3,070.98 and 660.16

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Solution

The fourth proportional to 2,047.19, 3,070.98 and 660.16 is: 990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.19 : 3,070.98 = 660.16 : x
  2. Step 2: Convert to fraction form
    2,047.19/3,070.98 = 660.16/x
  3. Step 3: Cross multiply
    2,047.19x = 3,070.98 × 660.16
  4. Step 4: Simplify right side
    2,047.19x = 2,027,322.80
  5. Step 5: Solve for x
    x = 2,027,322.80/2,047.19
  6. Step 6: Final answer
    x = 990.30

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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.