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Finding the Fourth Proportional to 2,290.08, 3,156 and 2,103.84

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Solution

The fourth proportional to 2,290.08, 3,156 and 2,103.84 is: 2,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.08 : 3,156 = 2,103.84 : x
  2. Step 2: Convert to fraction form
    2,290.08/3,156 = 2,103.84/x
  3. Step 3: Cross multiply
    2,290.08x = 3,156 × 2,103.84
  4. Step 4: Simplify right side
    2,290.08x = 6,639,719.04
  5. Step 5: Solve for x
    x = 6,639,719.04/2,290.08
  6. Step 6: Final answer
    x = 2,899.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.