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Finding the Fourth Proportional to 2,295, 3,439.62 and 1,184.76

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Solution

The fourth proportional to 2,295, 3,439.62 and 1,184.76 is: 1,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295 : 3,439.62 = 1,184.76 : x
  2. Step 2: Convert to fraction form
    2,295/3,439.62 = 1,184.76/x
  3. Step 3: Cross multiply
    2,295x = 3,439.62 × 1,184.76
  4. Step 4: Simplify right side
    2,295x = 4,075,124.19
  5. Step 5: Solve for x
    x = 4,075,124.19/2,295
  6. Step 6: Final answer
    x = 1,775.65

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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.