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Finding the Fourth Proportional to 2,906.40, 4,010.64 and 1,580.08

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Solution

The fourth proportional to 2,906.40, 4,010.64 and 1,580.08 is: 2,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.40 : 4,010.64 = 1,580.08 : x
  2. Step 2: Convert to fraction form
    2,906.40/4,010.64 = 1,580.08/x
  3. Step 3: Cross multiply
    2,906.40x = 4,010.64 × 1,580.08
  4. Step 4: Simplify right side
    2,906.40x = 6,337,132.05
  5. Step 5: Solve for x
    x = 6,337,132.05/2,906.40
  6. Step 6: Final answer
    x = 2,180.41

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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.