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Finding the Fourth Proportional to 2,705, 4,054.59 and 1,144.64

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Solution

The fourth proportional to 2,705, 4,054.59 and 1,144.64 is: 1,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705 : 4,054.59 = 1,144.64 : x
  2. Step 2: Convert to fraction form
    2,705/4,054.59 = 1,144.64/x
  3. Step 3: Cross multiply
    2,705x = 4,054.59 × 1,144.64
  4. Step 4: Simplify right side
    2,705x = 4,641,045.90
  5. Step 5: Solve for x
    x = 4,641,045.90/2,705
  6. Step 6: Final answer
    x = 1,715.73

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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.