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Finding the Fourth Proportional to 2,142.48, 2,955 and 1,554.96

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Solution

The fourth proportional to 2,142.48, 2,955 and 1,554.96 is: 2,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.48 : 2,955 = 1,554.96 : x
  2. Step 2: Convert to fraction form
    2,142.48/2,955 = 1,554.96/x
  3. Step 3: Cross multiply
    2,142.48x = 2,955 × 1,554.96
  4. Step 4: Simplify right side
    2,142.48x = 4,594,906.80
  5. Step 5: Solve for x
    x = 4,594,906.80/2,142.48
  6. Step 6: Final answer
    x = 2,144.67

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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.