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Finding the Fourth Proportional to 3,429, 5,150.40 and 2,045.04

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Solution

The fourth proportional to 3,429, 5,150.40 and 2,045.04 is: 3,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 5,150.40 = 2,045.04 : x
  2. Step 2: Convert to fraction form
    3,429/5,150.40 = 2,045.04/x
  3. Step 3: Cross multiply
    3,429x = 5,150.40 × 2,045.04
  4. Step 4: Simplify right side
    3,429x = 10,532,774.02
  5. Step 5: Solve for x
    x = 10,532,774.02/3,429
  6. Step 6: Final answer
    x = 3,071.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.