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Finding the Fourth Proportional to 2,762.66, 4,144.10 and 1,097.10

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Solution

The fourth proportional to 2,762.66, 4,144.10 and 1,097.10 is: 1,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.66 : 4,144.10 = 1,097.10 : x
  2. Step 2: Convert to fraction form
    2,762.66/4,144.10 = 1,097.10/x
  3. Step 3: Cross multiply
    2,762.66x = 4,144.10 × 1,097.10
  4. Step 4: Simplify right side
    2,762.66x = 4,546,486.62
  5. Step 5: Solve for x
    x = 4,546,486.62/2,762.66
  6. Step 6: Final answer
    x = 1,645.69

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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.