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Finding the Fourth Proportional to 2,256.16, 3,384.35 and 869

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Solution

The fourth proportional to 2,256.16, 3,384.35 and 869 is: 1,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.16 : 3,384.35 = 869 : x
  2. Step 2: Convert to fraction form
    2,256.16/3,384.35 = 869/x
  3. Step 3: Cross multiply
    2,256.16x = 3,384.35 × 869
  4. Step 4: Simplify right side
    2,256.16x = 2,941,000.15
  5. Step 5: Solve for x
    x = 2,941,000.15/2,256.16
  6. Step 6: Final answer
    x = 1,303.54

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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.