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Finding the Fourth Proportional to 2,946.98, 4,420.85 and 972.02

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Solution

The fourth proportional to 2,946.98, 4,420.85 and 972.02 is: 1,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.98 : 4,420.85 = 972.02 : x
  2. Step 2: Convert to fraction form
    2,946.98/4,420.85 = 972.02/x
  3. Step 3: Cross multiply
    2,946.98x = 4,420.85 × 972.02
  4. Step 4: Simplify right side
    2,946.98x = 4,297,154.62
  5. Step 5: Solve for x
    x = 4,297,154.62/2,946.98
  6. Step 6: Final answer
    x = 1,458.16

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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.