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Finding the Fourth Proportional to 2,117.08, 3,174.30 and 729.64

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Solution

The fourth proportional to 2,117.08, 3,174.30 and 729.64 is: 1,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.08 : 3,174.30 = 729.64 : x
  2. Step 2: Convert to fraction form
    2,117.08/3,174.30 = 729.64/x
  3. Step 3: Cross multiply
    2,117.08x = 3,174.30 × 729.64
  4. Step 4: Simplify right side
    2,117.08x = 2,316,096.25
  5. Step 5: Solve for x
    x = 2,316,096.25/2,117.08
  6. Step 6: Final answer
    x = 1,094.01

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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.