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Finding the Fourth Proportional to 2,980.23, 4,111.01 and 1,859.23

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Solution

The fourth proportional to 2,980.23, 4,111.01 and 1,859.23 is: 2,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.23 : 4,111.01 = 1,859.23 : x
  2. Step 2: Convert to fraction form
    2,980.23/4,111.01 = 1,859.23/x
  3. Step 3: Cross multiply
    2,980.23x = 4,111.01 × 1,859.23
  4. Step 4: Simplify right side
    2,980.23x = 7,643,292.57
  5. Step 5: Solve for x
    x = 7,643,292.57/2,980.23
  6. Step 6: Final answer
    x = 2,564.67

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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.