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Finding the Fourth Proportional to 4,902.45, 7,354.35 and 1,782.10

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Solution

The fourth proportional to 4,902.45, 7,354.35 and 1,782.10 is: 2,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.45 : 7,354.35 = 1,782.10 : x
  2. Step 2: Convert to fraction form
    4,902.45/7,354.35 = 1,782.10/x
  3. Step 3: Cross multiply
    4,902.45x = 7,354.35 × 1,782.10
  4. Step 4: Simplify right side
    4,902.45x = 13,106,150.36
  5. Step 5: Solve for x
    x = 13,106,150.36/4,902.45
  6. Step 6: Final answer
    x = 2,673.39

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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.