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Finding the Fourth Proportional to 2,762.89, 3,812.74 and 1,503.90

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Solution

The fourth proportional to 2,762.89, 3,812.74 and 1,503.90 is: 2,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.89 : 3,812.74 = 1,503.90 : x
  2. Step 2: Convert to fraction form
    2,762.89/3,812.74 = 1,503.90/x
  3. Step 3: Cross multiply
    2,762.89x = 3,812.74 × 1,503.90
  4. Step 4: Simplify right side
    2,762.89x = 5,733,979.69
  5. Step 5: Solve for x
    x = 5,733,979.69/2,762.89
  6. Step 6: Final answer
    x = 2,075.36

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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.