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Finding the Fourth Proportional to 2,968.86, 4,097.01 and 1,774.39

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Solution

The fourth proportional to 2,968.86, 4,097.01 and 1,774.39 is: 2,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.86 : 4,097.01 = 1,774.39 : x
  2. Step 2: Convert to fraction form
    2,968.86/4,097.01 = 1,774.39/x
  3. Step 3: Cross multiply
    2,968.86x = 4,097.01 × 1,774.39
  4. Step 4: Simplify right side
    2,968.86x = 7,269,693.57
  5. Step 5: Solve for x
    x = 7,269,693.57/2,968.86
  6. Step 6: Final answer
    x = 2,448.65

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1.5x scale

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.