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Finding the Fourth Proportional to 4,026.65, 6,040.80 and 1,561.46

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Solution

The fourth proportional to 4,026.65, 6,040.80 and 1,561.46 is: 2,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.65 : 6,040.80 = 1,561.46 : x
  2. Step 2: Convert to fraction form
    4,026.65/6,040.80 = 1,561.46/x
  3. Step 3: Cross multiply
    4,026.65x = 6,040.80 × 1,561.46
  4. Step 4: Simplify right side
    4,026.65x = 9,432,437.36
  5. Step 5: Solve for x
    x = 9,432,437.36/4,026.65
  6. Step 6: Final answer
    x = 2,342.51

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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.