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Finding the Fourth Proportional to 2,774.72, 4,161.04 and 1,130.38

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Solution

The fourth proportional to 2,774.72, 4,161.04 and 1,130.38 is: 1,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.72 : 4,161.04 = 1,130.38 : x
  2. Step 2: Convert to fraction form
    2,774.72/4,161.04 = 1,130.38/x
  3. Step 3: Cross multiply
    2,774.72x = 4,161.04 × 1,130.38
  4. Step 4: Simplify right side
    2,774.72x = 4,703,543.17
  5. Step 5: Solve for x
    x = 4,703,543.17/2,774.72
  6. Step 6: Final answer
    x = 1,695.14

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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.