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Finding the Fourth Proportional to 1,846.75, 2,548.53 and 1,061.05

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Solution

The fourth proportional to 1,846.75, 2,548.53 and 1,061.05 is: 1,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.75 : 2,548.53 = 1,061.05 : x
  2. Step 2: Convert to fraction form
    1,846.75/2,548.53 = 1,061.05/x
  3. Step 3: Cross multiply
    1,846.75x = 2,548.53 × 1,061.05
  4. Step 4: Simplify right side
    1,846.75x = 2,704,117.76
  5. Step 5: Solve for x
    x = 2,704,117.76/1,846.75
  6. Step 6: Final answer
    x = 1,464.26

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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.