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Finding the Fourth Proportional to 2,103.54, 2,904.24 and 1,358.64

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Solution

The fourth proportional to 2,103.54, 2,904.24 and 1,358.64 is: 1,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.54 : 2,904.24 = 1,358.64 : x
  2. Step 2: Convert to fraction form
    2,103.54/2,904.24 = 1,358.64/x
  3. Step 3: Cross multiply
    2,103.54x = 2,904.24 × 1,358.64
  4. Step 4: Simplify right side
    2,103.54x = 3,945,816.63
  5. Step 5: Solve for x
    x = 3,945,816.63/2,103.54
  6. Step 6: Final answer
    x = 1,875.80

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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.