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Finding the Fourth Proportional to 2,573.94, 3,866.07 and 1,535.97

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Solution

The fourth proportional to 2,573.94, 3,866.07 and 1,535.97 is: 2,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.94 : 3,866.07 = 1,535.97 : x
  2. Step 2: Convert to fraction form
    2,573.94/3,866.07 = 1,535.97/x
  3. Step 3: Cross multiply
    2,573.94x = 3,866.07 × 1,535.97
  4. Step 4: Simplify right side
    2,573.94x = 5,938,152.05
  5. Step 5: Solve for x
    x = 5,938,152.05/2,573.94
  6. Step 6: Final answer
    x = 2,307.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.