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Finding the Fourth Proportional to 2,359.03, 3,538.07 and 715.19

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Solution

The fourth proportional to 2,359.03, 3,538.07 and 715.19 is: 1,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.03 : 3,538.07 = 715.19 : x
  2. Step 2: Convert to fraction form
    2,359.03/3,538.07 = 715.19/x
  3. Step 3: Cross multiply
    2,359.03x = 3,538.07 × 715.19
  4. Step 4: Simplify right side
    2,359.03x = 2,530,392.28
  5. Step 5: Solve for x
    x = 2,530,392.28/2,359.03
  6. Step 6: Final answer
    x = 1,072.64

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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.