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Finding the Fourth Proportional to 2,094.08, 3,141 and 707.28

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Solution

The fourth proportional to 2,094.08, 3,141 and 707.28 is: 1,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.08 : 3,141 = 707.28 : x
  2. Step 2: Convert to fraction form
    2,094.08/3,141 = 707.28/x
  3. Step 3: Cross multiply
    2,094.08x = 3,141 × 707.28
  4. Step 4: Simplify right side
    2,094.08x = 2,221,566.48
  5. Step 5: Solve for x
    x = 2,221,566.48/2,094.08
  6. Step 6: Final answer
    x = 1,060.88

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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.