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Finding the Fourth Proportional to 2,428.94, 3,352.47 and 1,544.57

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Solution

The fourth proportional to 2,428.94, 3,352.47 and 1,544.57 is: 2,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.94 : 3,352.47 = 1,544.57 : x
  2. Step 2: Convert to fraction form
    2,428.94/3,352.47 = 1,544.57/x
  3. Step 3: Cross multiply
    2,428.94x = 3,352.47 × 1,544.57
  4. Step 4: Simplify right side
    2,428.94x = 5,178,136.83
  5. Step 5: Solve for x
    x = 5,178,136.83/2,428.94
  6. Step 6: Final answer
    x = 2,131.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.