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Finding the Fourth Proportional to 2,478.58, 3,419.75 and 1,770.64

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Solution

The fourth proportional to 2,478.58, 3,419.75 and 1,770.64 is: 2,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.58 : 3,419.75 = 1,770.64 : x
  2. Step 2: Convert to fraction form
    2,478.58/3,419.75 = 1,770.64/x
  3. Step 3: Cross multiply
    2,478.58x = 3,419.75 × 1,770.64
  4. Step 4: Simplify right side
    2,478.58x = 6,055,120.19
  5. Step 5: Solve for x
    x = 6,055,120.19/2,478.58
  6. Step 6: Final answer
    x = 2,442.98

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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.