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Finding the Fourth Proportional to 2,504.61, 3,455.85 and 1,509.95

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Solution

The fourth proportional to 2,504.61, 3,455.85 and 1,509.95 is: 2,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.61 : 3,455.85 = 1,509.95 : x
  2. Step 2: Convert to fraction form
    2,504.61/3,455.85 = 1,509.95/x
  3. Step 3: Cross multiply
    2,504.61x = 3,455.85 × 1,509.95
  4. Step 4: Simplify right side
    2,504.61x = 5,218,169.35
  5. Step 5: Solve for x
    x = 5,218,169.35/2,504.61
  6. Step 6: Final answer
    x = 2,083.43

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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.