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Finding the Fourth Proportional to 2,965.07, 4,443.63 and 2,307.74

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Solution

The fourth proportional to 2,965.07, 4,443.63 and 2,307.74 is: 3,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.07 : 4,443.63 = 2,307.74 : x
  2. Step 2: Convert to fraction form
    2,965.07/4,443.63 = 2,307.74/x
  3. Step 3: Cross multiply
    2,965.07x = 4,443.63 × 2,307.74
  4. Step 4: Simplify right side
    2,965.07x = 10,254,742.70
  5. Step 5: Solve for x
    x = 10,254,742.70/2,965.07
  6. Step 6: Final answer
    x = 3,458.52

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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.