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Finding the Fourth Proportional to 2,383.61, 3,576 and 1,925.54

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Solution

The fourth proportional to 2,383.61, 3,576 and 1,925.54 is: 2,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.61 : 3,576 = 1,925.54 : x
  2. Step 2: Convert to fraction form
    2,383.61/3,576 = 1,925.54/x
  3. Step 3: Cross multiply
    2,383.61x = 3,576 × 1,925.54
  4. Step 4: Simplify right side
    2,383.61x = 6,885,731.04
  5. Step 5: Solve for x
    x = 6,885,731.04/2,383.61
  6. Step 6: Final answer
    x = 2,888.78

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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.