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Finding the Fourth Proportional to 2,109.90, 3,164.91 and 649.08

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Solution

The fourth proportional to 2,109.90, 3,164.91 and 649.08 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.90 : 3,164.91 = 649.08 : x
  2. Step 2: Convert to fraction form
    2,109.90/3,164.91 = 649.08/x
  3. Step 3: Cross multiply
    2,109.90x = 3,164.91 × 649.08
  4. Step 4: Simplify right side
    2,109.90x = 2,054,279.78
  5. Step 5: Solve for x
    x = 2,054,279.78/2,109.90
  6. Step 6: Final answer
    x = 973.64

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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.