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Finding the Fourth Proportional to 2,147.90, 2,964.74 and 1,484.10

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Solution

The fourth proportional to 2,147.90, 2,964.74 and 1,484.10 is: 2,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.90 : 2,964.74 = 1,484.10 : x
  2. Step 2: Convert to fraction form
    2,147.90/2,964.74 = 1,484.10/x
  3. Step 3: Cross multiply
    2,147.90x = 2,964.74 × 1,484.10
  4. Step 4: Simplify right side
    2,147.90x = 4,399,963.21
  5. Step 5: Solve for x
    x = 4,399,963.21/2,147.90
  6. Step 6: Final answer
    x = 2,048.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.