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Finding the Fourth Proportional to 2,048.64, 2,826.93 and 1,164.39

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Solution

The fourth proportional to 2,048.64, 2,826.93 and 1,164.39 is: 1,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.64 : 2,826.93 = 1,164.39 : x
  2. Step 2: Convert to fraction form
    2,048.64/2,826.93 = 1,164.39/x
  3. Step 3: Cross multiply
    2,048.64x = 2,826.93 × 1,164.39
  4. Step 4: Simplify right side
    2,048.64x = 3,291,649.02
  5. Step 5: Solve for x
    x = 3,291,649.02/2,048.64
  6. Step 6: Final answer
    x = 1,606.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.