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Finding the Fourth Proportional to 2,906.93, 4,011.62 and 1,580.70

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Solution

The fourth proportional to 2,906.93, 4,011.62 and 1,580.70 is: 2,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.93 : 4,011.62 = 1,580.70 : x
  2. Step 2: Convert to fraction form
    2,906.93/4,011.62 = 1,580.70/x
  3. Step 3: Cross multiply
    2,906.93x = 4,011.62 × 1,580.70
  4. Step 4: Simplify right side
    2,906.93x = 6,341,159.83
  5. Step 5: Solve for x
    x = 6,341,159.83/2,906.93
  6. Step 6: Final answer
    x = 2,181.40

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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.