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Finding the Fourth Proportional to 2,492.89, 3,739.52 and 644.00

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Solution

The fourth proportional to 2,492.89, 3,739.52 and 644.00 is: 966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.89 : 3,739.52 = 644.00 : x
  2. Step 2: Convert to fraction form
    2,492.89/3,739.52 = 644.00/x
  3. Step 3: Cross multiply
    2,492.89x = 3,739.52 × 644.00
  4. Step 4: Simplify right side
    2,492.89x = 2,408,254.83
  5. Step 5: Solve for x
    x = 2,408,254.83/2,492.89
  6. Step 6: Final answer
    x = 966.05

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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.