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Finding the Fourth Proportional to 2,104.30, 3,156.45 and 2,104.30

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Solution

The fourth proportional to 2,104.30, 3,156.45 and 2,104.30 is: 3,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.30 : 3,156.45 = 2,104.30 : x
  2. Step 2: Convert to fraction form
    2,104.30/3,156.45 = 2,104.30/x
  3. Step 3: Cross multiply
    2,104.30x = 3,156.45 × 2,104.30
  4. Step 4: Simplify right side
    2,104.30x = 6,642,117.74
  5. Step 5: Solve for x
    x = 6,642,117.74/2,104.30
  6. Step 6: Final answer
    x = 3,156.45

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1.5x scale

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.