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Finding the Fourth Proportional to 2,504.64, 3,458.88 and 2,064

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Solution

The fourth proportional to 2,504.64, 3,458.88 and 2,064 is: 2,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.64 : 3,458.88 = 2,064 : x
  2. Step 2: Convert to fraction form
    2,504.64/3,458.88 = 2,064/x
  3. Step 3: Cross multiply
    2,504.64x = 3,458.88 × 2,064
  4. Step 4: Simplify right side
    2,504.64x = 7,139,128.32
  5. Step 5: Solve for x
    x = 7,139,128.32/2,504.64
  6. Step 6: Final answer
    x = 2,850.36

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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.