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Finding the Fourth Proportional to 2,508.33, 3,762.50 and 1,046.69

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Solution

The fourth proportional to 2,508.33, 3,762.50 and 1,046.69 is: 1,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.33 : 3,762.50 = 1,046.69 : x
  2. Step 2: Convert to fraction form
    2,508.33/3,762.50 = 1,046.69/x
  3. Step 3: Cross multiply
    2,508.33x = 3,762.50 × 1,046.69
  4. Step 4: Simplify right side
    2,508.33x = 3,938,167.08
  5. Step 5: Solve for x
    x = 3,938,167.08/2,508.33
  6. Step 6: Final answer
    x = 1,570.03

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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.