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Finding the Fourth Proportional to 2,913, 4,369.65 and 2,765.37

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Solution

The fourth proportional to 2,913, 4,369.65 and 2,765.37 is: 4,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913 : 4,369.65 = 2,765.37 : x
  2. Step 2: Convert to fraction form
    2,913/4,369.65 = 2,765.37/x
  3. Step 3: Cross multiply
    2,913x = 4,369.65 × 2,765.37
  4. Step 4: Simplify right side
    2,913x = 12,083,699.02
  5. Step 5: Solve for x
    x = 12,083,699.02/2,913
  6. Step 6: Final answer
    x = 4,148.20

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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.