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Finding the Fourth Proportional to 2,378.95, 3,284.10 and 1,583.60

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Solution

The fourth proportional to 2,378.95, 3,284.10 and 1,583.60 is: 2,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.95 : 3,284.10 = 1,583.60 : x
  2. Step 2: Convert to fraction form
    2,378.95/3,284.10 = 1,583.60/x
  3. Step 3: Cross multiply
    2,378.95x = 3,284.10 × 1,583.60
  4. Step 4: Simplify right side
    2,378.95x = 5,200,676.42
  5. Step 5: Solve for x
    x = 5,200,676.42/2,378.95
  6. Step 6: Final answer
    x = 2,186.13

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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.