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Finding the Fourth Proportional to 2,504.64, 3,447.32 and 2,307.80

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Solution

The fourth proportional to 2,504.64, 3,447.32 and 2,307.80 is: 3,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.64 : 3,447.32 = 2,307.80 : x
  2. Step 2: Convert to fraction form
    2,504.64/3,447.32 = 2,307.80/x
  3. Step 3: Cross multiply
    2,504.64x = 3,447.32 × 2,307.80
  4. Step 4: Simplify right side
    2,504.64x = 7,955,725.10
  5. Step 5: Solve for x
    x = 7,955,725.10/2,504.64
  6. Step 6: Final answer
    x = 3,176.39

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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.