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Finding the Fourth Proportional to 3,005.78, 4,506.38 and 1,423.70

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Solution

The fourth proportional to 3,005.78, 4,506.38 and 1,423.70 is: 2,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.78 : 4,506.38 = 1,423.70 : x
  2. Step 2: Convert to fraction form
    3,005.78/4,506.38 = 1,423.70/x
  3. Step 3: Cross multiply
    3,005.78x = 4,506.38 × 1,423.70
  4. Step 4: Simplify right side
    3,005.78x = 6,415,733.21
  5. Step 5: Solve for x
    x = 6,415,733.21/3,005.78
  6. Step 6: Final answer
    x = 2,134.47

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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.