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Finding the Fourth Proportional to 1,354.41, 1,870.01 and 850.46

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Solution

The fourth proportional to 1,354.41, 1,870.01 and 850.46 is: 1,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.41 : 1,870.01 = 850.46 : x
  2. Step 2: Convert to fraction form
    1,354.41/1,870.01 = 850.46/x
  3. Step 3: Cross multiply
    1,354.41x = 1,870.01 × 850.46
  4. Step 4: Simplify right side
    1,354.41x = 1,590,355.10
  5. Step 5: Solve for x
    x = 1,590,355.10/1,354.41
  6. Step 6: Final answer
    x = 1,174.21

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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.