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Finding the Fourth Proportional to 2,303.94, 3,453.23 and 1,264.51

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Solution

The fourth proportional to 2,303.94, 3,453.23 and 1,264.51 is: 1,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.94 : 3,453.23 = 1,264.51 : x
  2. Step 2: Convert to fraction form
    2,303.94/3,453.23 = 1,264.51/x
  3. Step 3: Cross multiply
    2,303.94x = 3,453.23 × 1,264.51
  4. Step 4: Simplify right side
    2,303.94x = 4,366,651.35
  5. Step 5: Solve for x
    x = 4,366,651.35/2,303.94
  6. Step 6: Final answer
    x = 1,895.29

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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.