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Finding the Fourth Proportional to 2,303.52, 3,454.16 and 764

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Solution

The fourth proportional to 2,303.52, 3,454.16 and 764 is: 1,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.52 : 3,454.16 = 764 : x
  2. Step 2: Convert to fraction form
    2,303.52/3,454.16 = 764/x
  3. Step 3: Cross multiply
    2,303.52x = 3,454.16 × 764
  4. Step 4: Simplify right side
    2,303.52x = 2,638,978.24
  5. Step 5: Solve for x
    x = 2,638,978.24/2,303.52
  6. Step 6: Final answer
    x = 1,145.63

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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.