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Finding the Fourth Proportional to 1,777.65, 2,448.09 and 1,739.49

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Solution

The fourth proportional to 1,777.65, 2,448.09 and 1,739.49 is: 2,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.65 : 2,448.09 = 1,739.49 : x
  2. Step 2: Convert to fraction form
    1,777.65/2,448.09 = 1,739.49/x
  3. Step 3: Cross multiply
    1,777.65x = 2,448.09 × 1,739.49
  4. Step 4: Simplify right side
    1,777.65x = 4,258,428.07
  5. Step 5: Solve for x
    x = 4,258,428.07/1,777.65
  6. Step 6: Final answer
    x = 2,395.54

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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.