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Finding the Fourth Proportional to 3,301.95, 4,955.07 and 1,429.67

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Solution

The fourth proportional to 3,301.95, 4,955.07 and 1,429.67 is: 2,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.95 : 4,955.07 = 1,429.67 : x
  2. Step 2: Convert to fraction form
    3,301.95/4,955.07 = 1,429.67/x
  3. Step 3: Cross multiply
    3,301.95x = 4,955.07 × 1,429.67
  4. Step 4: Simplify right side
    3,301.95x = 7,084,111.32
  5. Step 5: Solve for x
    x = 7,084,111.32/3,301.95
  6. Step 6: Final answer
    x = 2,145.43

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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.