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Finding the Fourth Proportional to 2,362.79, 3,543.77 and 719.03

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Solution

The fourth proportional to 2,362.79, 3,543.77 and 719.03 is: 1,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.79 : 3,543.77 = 719.03 : x
  2. Step 2: Convert to fraction form
    2,362.79/3,543.77 = 719.03/x
  3. Step 3: Cross multiply
    2,362.79x = 3,543.77 × 719.03
  4. Step 4: Simplify right side
    2,362.79x = 2,548,055.63
  5. Step 5: Solve for x
    x = 2,548,055.63/2,362.79
  6. Step 6: Final answer
    x = 1,078.41

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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.