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Finding the Fourth Proportional to 3,090.90, 4,636.80 and 981.83

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Solution

The fourth proportional to 3,090.90, 4,636.80 and 981.83 is: 1,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.90 : 4,636.80 = 981.83 : x
  2. Step 2: Convert to fraction form
    3,090.90/4,636.80 = 981.83/x
  3. Step 3: Cross multiply
    3,090.90x = 4,636.80 × 981.83
  4. Step 4: Simplify right side
    3,090.90x = 4,552,526.16
  5. Step 5: Solve for x
    x = 4,552,526.16/3,090.90
  6. Step 6: Final answer
    x = 1,472.88

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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.