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Finding the Fourth Proportional to 1,971.74, 2,956.10 and 785.65

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Solution

The fourth proportional to 1,971.74, 2,956.10 and 785.65 is: 1,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.74 : 2,956.10 = 785.65 : x
  2. Step 2: Convert to fraction form
    1,971.74/2,956.10 = 785.65/x
  3. Step 3: Cross multiply
    1,971.74x = 2,956.10 × 785.65
  4. Step 4: Simplify right side
    1,971.74x = 2,322,454.19
  5. Step 5: Solve for x
    x = 2,322,454.19/1,971.74
  6. Step 6: Final answer
    x = 1,177.87

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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.