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Finding the Fourth Proportional to 2,604.51, 3,903.93 and 959.67

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Solution

The fourth proportional to 2,604.51, 3,903.93 and 959.67 is: 1,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.51 : 3,903.93 = 959.67 : x
  2. Step 2: Convert to fraction form
    2,604.51/3,903.93 = 959.67/x
  3. Step 3: Cross multiply
    2,604.51x = 3,903.93 × 959.67
  4. Step 4: Simplify right side
    2,604.51x = 3,746,484.50
  5. Step 5: Solve for x
    x = 3,746,484.50/2,604.51
  6. Step 6: Final answer
    x = 1,438.46

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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.