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Finding the Fourth Proportional to 2,105.02, 2,904.60 and 1,265.54

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Solution

The fourth proportional to 2,105.02, 2,904.60 and 1,265.54 is: 1,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.02 : 2,904.60 = 1,265.54 : x
  2. Step 2: Convert to fraction form
    2,105.02/2,904.60 = 1,265.54/x
  3. Step 3: Cross multiply
    2,105.02x = 2,904.60 × 1,265.54
  4. Step 4: Simplify right side
    2,105.02x = 3,675,887.48
  5. Step 5: Solve for x
    x = 3,675,887.48/2,105.02
  6. Step 6: Final answer
    x = 1,746.25

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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.