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Finding the Fourth Proportional to 3,153.99, 4,731.68 and 962.89

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Solution

The fourth proportional to 3,153.99, 4,731.68 and 962.89 is: 1,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.99 : 4,731.68 = 962.89 : x
  2. Step 2: Convert to fraction form
    3,153.99/4,731.68 = 962.89/x
  3. Step 3: Cross multiply
    3,153.99x = 4,731.68 × 962.89
  4. Step 4: Simplify right side
    3,153.99x = 4,556,087.36
  5. Step 5: Solve for x
    x = 4,556,087.36/3,153.99
  6. Step 6: Final answer
    x = 1,444.55

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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.