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Finding the Fourth Proportional to 2,890.26, 4,335.75 and 1,040.90

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Solution

The fourth proportional to 2,890.26, 4,335.75 and 1,040.90 is: 1,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.26 : 4,335.75 = 1,040.90 : x
  2. Step 2: Convert to fraction form
    2,890.26/4,335.75 = 1,040.90/x
  3. Step 3: Cross multiply
    2,890.26x = 4,335.75 × 1,040.90
  4. Step 4: Simplify right side
    2,890.26x = 4,513,060.50
  5. Step 5: Solve for x
    x = 4,513,060.50/2,890.26
  6. Step 6: Final answer
    x = 1,561.47

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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.