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Finding the Fourth Proportional to 2,946.72, 4,412.88 and 1,404

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Solution

The fourth proportional to 2,946.72, 4,412.88 and 1,404 is: 2,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.72 : 4,412.88 = 1,404 : x
  2. Step 2: Convert to fraction form
    2,946.72/4,412.88 = 1,404/x
  3. Step 3: Cross multiply
    2,946.72x = 4,412.88 × 1,404
  4. Step 4: Simplify right side
    2,946.72x = 6,195,683.52
  5. Step 5: Solve for x
    x = 6,195,683.52/2,946.72
  6. Step 6: Final answer
    x = 2,102.57

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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.