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Finding the Fourth Proportional to 2,406.51, 3,602.88 and 1,793.07

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Solution

The fourth proportional to 2,406.51, 3,602.88 and 1,793.07 is: 2,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.51 : 3,602.88 = 1,793.07 : x
  2. Step 2: Convert to fraction form
    2,406.51/3,602.88 = 1,793.07/x
  3. Step 3: Cross multiply
    2,406.51x = 3,602.88 × 1,793.07
  4. Step 4: Simplify right side
    2,406.51x = 6,460,216.04
  5. Step 5: Solve for x
    x = 6,460,216.04/2,406.51
  6. Step 6: Final answer
    x = 2,684.48

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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.