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Finding the Fourth Proportional to 1,884.14, 2,599.59 and 1,484.57

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Solution

The fourth proportional to 1,884.14, 2,599.59 and 1,484.57 is: 2,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.14 : 2,599.59 = 1,484.57 : x
  2. Step 2: Convert to fraction form
    1,884.14/2,599.59 = 1,484.57/x
  3. Step 3: Cross multiply
    1,884.14x = 2,599.59 × 1,484.57
  4. Step 4: Simplify right side
    1,884.14x = 3,859,266.33
  5. Step 5: Solve for x
    x = 3,859,266.33/1,884.14
  6. Step 6: Final answer
    x = 2,048.29

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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.