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Finding the Fourth Proportional to 2,093.65, 3,140.78 and 777.06

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Solution

The fourth proportional to 2,093.65, 3,140.78 and 777.06 is: 1,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.65 : 3,140.78 = 777.06 : x
  2. Step 2: Convert to fraction form
    2,093.65/3,140.78 = 777.06/x
  3. Step 3: Cross multiply
    2,093.65x = 3,140.78 × 777.06
  4. Step 4: Simplify right side
    2,093.65x = 2,440,570.62
  5. Step 5: Solve for x
    x = 2,440,570.62/2,093.65
  6. Step 6: Final answer
    x = 1,165.70

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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.