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Finding the Fourth Proportional to 2,674.94, 4,012.42 and 1,032.26

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Solution

The fourth proportional to 2,674.94, 4,012.42 and 1,032.26 is: 1,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.94 : 4,012.42 = 1,032.26 : x
  2. Step 2: Convert to fraction form
    2,674.94/4,012.42 = 1,032.26/x
  3. Step 3: Cross multiply
    2,674.94x = 4,012.42 × 1,032.26
  4. Step 4: Simplify right side
    2,674.94x = 4,141,855.51
  5. Step 5: Solve for x
    x = 4,141,855.51/2,674.94
  6. Step 6: Final answer
    x = 1,548.39

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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.