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Finding the Fourth Proportional to 2,726.54, 3,762.94 and 1,547.50

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Solution

The fourth proportional to 2,726.54, 3,762.94 and 1,547.50 is: 2,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.54 : 3,762.94 = 1,547.50 : x
  2. Step 2: Convert to fraction form
    2,726.54/3,762.94 = 1,547.50/x
  3. Step 3: Cross multiply
    2,726.54x = 3,762.94 × 1,547.50
  4. Step 4: Simplify right side
    2,726.54x = 5,823,149.65
  5. Step 5: Solve for x
    x = 5,823,149.65/2,726.54
  6. Step 6: Final answer
    x = 2,135.73

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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.