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Finding the Fourth Proportional to 2,019.58, 2,785.35 and 1,705.58

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Solution

The fourth proportional to 2,019.58, 2,785.35 and 1,705.58 is: 2,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.58 : 2,785.35 = 1,705.58 : x
  2. Step 2: Convert to fraction form
    2,019.58/2,785.35 = 1,705.58/x
  3. Step 3: Cross multiply
    2,019.58x = 2,785.35 × 1,705.58
  4. Step 4: Simplify right side
    2,019.58x = 4,750,637.25
  5. Step 5: Solve for x
    x = 4,750,637.25/2,019.58
  6. Step 6: Final answer
    x = 2,352.29

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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.