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Finding the Fourth Proportional to 1,884.80, 2,598.28 and 1,323.58

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Solution

The fourth proportional to 1,884.80, 2,598.28 and 1,323.58 is: 1,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.80 : 2,598.28 = 1,323.58 : x
  2. Step 2: Convert to fraction form
    1,884.80/2,598.28 = 1,323.58/x
  3. Step 3: Cross multiply
    1,884.80x = 2,598.28 × 1,323.58
  4. Step 4: Simplify right side
    1,884.80x = 3,439,031.44
  5. Step 5: Solve for x
    x = 3,439,031.44/1,884.80
  6. Step 6: Final answer
    x = 1,824.61

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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.