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Finding the Fourth Proportional to 1,405.74, 1,940.47 and 1,258.12

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Solution

The fourth proportional to 1,405.74, 1,940.47 and 1,258.12 is: 1,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.74 : 1,940.47 = 1,258.12 : x
  2. Step 2: Convert to fraction form
    1,405.74/1,940.47 = 1,258.12/x
  3. Step 3: Cross multiply
    1,405.74x = 1,940.47 × 1,258.12
  4. Step 4: Simplify right side
    1,405.74x = 2,441,350.47
  5. Step 5: Solve for x
    x = 2,441,350.47/1,405.74
  6. Step 6: Final answer
    x = 1,736.70

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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.