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Finding the Fourth Proportional to 2,093.76, 2,888.34 and 1,762.05

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Solution

The fourth proportional to 2,093.76, 2,888.34 and 1,762.05 is: 2,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.76 : 2,888.34 = 1,762.05 : x
  2. Step 2: Convert to fraction form
    2,093.76/2,888.34 = 1,762.05/x
  3. Step 3: Cross multiply
    2,093.76x = 2,888.34 × 1,762.05
  4. Step 4: Simplify right side
    2,093.76x = 5,089,399.50
  5. Step 5: Solve for x
    x = 5,089,399.50/2,093.76
  6. Step 6: Final answer
    x = 2,430.75

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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.