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Finding the Fourth Proportional to 2,504.01, 3,455.76 and 1,385.20

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Solution

The fourth proportional to 2,504.01, 3,455.76 and 1,385.20 is: 1,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.01 : 3,455.76 = 1,385.20 : x
  2. Step 2: Convert to fraction form
    2,504.01/3,455.76 = 1,385.20/x
  3. Step 3: Cross multiply
    2,504.01x = 3,455.76 × 1,385.20
  4. Step 4: Simplify right side
    2,504.01x = 4,786,928.27
  5. Step 5: Solve for x
    x = 4,786,928.27/2,504.01
  6. Step 6: Final answer
    x = 1,911.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.