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Finding the Fourth Proportional to 3,132.72, 4,698.57 and 941.06

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Solution

The fourth proportional to 3,132.72, 4,698.57 and 941.06 is: 1,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.72 : 4,698.57 = 941.06 : x
  2. Step 2: Convert to fraction form
    3,132.72/4,698.57 = 941.06/x
  3. Step 3: Cross multiply
    3,132.72x = 4,698.57 × 941.06
  4. Step 4: Simplify right side
    3,132.72x = 4,421,636.28
  5. Step 5: Solve for x
    x = 4,421,636.28/3,132.72
  6. Step 6: Final answer
    x = 1,411.44

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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.