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Finding the Fourth Proportional to 1,904.64, 2,854.92 and 1,244.45

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Solution

The fourth proportional to 1,904.64, 2,854.92 and 1,244.45 is: 1,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.64 : 2,854.92 = 1,244.45 : x
  2. Step 2: Convert to fraction form
    1,904.64/2,854.92 = 1,244.45/x
  3. Step 3: Cross multiply
    1,904.64x = 2,854.92 × 1,244.45
  4. Step 4: Simplify right side
    1,904.64x = 3,552,790.92
  5. Step 5: Solve for x
    x = 3,552,790.92/1,904.64
  6. Step 6: Final answer
    x = 1,865.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.