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Finding the Fourth Proportional to 2,103.08, 3,156.14 and 1,411.08

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Solution

The fourth proportional to 2,103.08, 3,156.14 and 1,411.08 is: 2,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.08 : 3,156.14 = 1,411.08 : x
  2. Step 2: Convert to fraction form
    2,103.08/3,156.14 = 1,411.08/x
  3. Step 3: Cross multiply
    2,103.08x = 3,156.14 × 1,411.08
  4. Step 4: Simplify right side
    2,103.08x = 4,453,566.03
  5. Step 5: Solve for x
    x = 4,453,566.03/2,103.08
  6. Step 6: Final answer
    x = 2,117.64

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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.