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Finding the Fourth Proportional to 2,625.77, 3,623.64 and 1,506.90

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Solution

The fourth proportional to 2,625.77, 3,623.64 and 1,506.90 is: 2,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.77 : 3,623.64 = 1,506.90 : x
  2. Step 2: Convert to fraction form
    2,625.77/3,623.64 = 1,506.90/x
  3. Step 3: Cross multiply
    2,625.77x = 3,623.64 × 1,506.90
  4. Step 4: Simplify right side
    2,625.77x = 5,460,471.05
  5. Step 5: Solve for x
    x = 5,460,471.05/2,625.77
  6. Step 6: Final answer
    x = 2,079.57

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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.