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Finding the Fourth Proportional to 2,093.60, 3,140.40 and 1,858.70

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Solution

The fourth proportional to 2,093.60, 3,140.40 and 1,858.70 is: 2,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.60 : 3,140.40 = 1,858.70 : x
  2. Step 2: Convert to fraction form
    2,093.60/3,140.40 = 1,858.70/x
  3. Step 3: Cross multiply
    2,093.60x = 3,140.40 × 1,858.70
  4. Step 4: Simplify right side
    2,093.60x = 5,837,061.48
  5. Step 5: Solve for x
    x = 5,837,061.48/2,093.60
  6. Step 6: Final answer
    x = 2,788.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.