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Finding the Fourth Proportional to 2,154.08, 3,235.08 and 1,334

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Solution

The fourth proportional to 2,154.08, 3,235.08 and 1,334 is: 2,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.08 : 3,235.08 = 1,334 : x
  2. Step 2: Convert to fraction form
    2,154.08/3,235.08 = 1,334/x
  3. Step 3: Cross multiply
    2,154.08x = 3,235.08 × 1,334
  4. Step 4: Simplify right side
    2,154.08x = 4,315,596.72
  5. Step 5: Solve for x
    x = 4,315,596.72/2,154.08
  6. Step 6: Final answer
    x = 2,003.45

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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.