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Finding the Fourth Proportional to 2,055.70, 2,836.92 and 1,258.93

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Solution

The fourth proportional to 2,055.70, 2,836.92 and 1,258.93 is: 1,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.70 : 2,836.92 = 1,258.93 : x
  2. Step 2: Convert to fraction form
    2,055.70/2,836.92 = 1,258.93/x
  3. Step 3: Cross multiply
    2,055.70x = 2,836.92 × 1,258.93
  4. Step 4: Simplify right side
    2,055.70x = 3,571,483.70
  5. Step 5: Solve for x
    x = 3,571,483.70/2,055.70
  6. Step 6: Final answer
    x = 1,737.36

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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.