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Finding the Fourth Proportional to 1,644.04, 2,466.30 and 874.60

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Solution

The fourth proportional to 1,644.04, 2,466.30 and 874.60 is: 1,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.04 : 2,466.30 = 874.60 : x
  2. Step 2: Convert to fraction form
    1,644.04/2,466.30 = 874.60/x
  3. Step 3: Cross multiply
    1,644.04x = 2,466.30 × 874.60
  4. Step 4: Simplify right side
    1,644.04x = 2,157,025.98
  5. Step 5: Solve for x
    x = 2,157,025.98/1,644.04
  6. Step 6: Final answer
    x = 1,312.03

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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.