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Finding the Fourth Proportional to 4,096.98, 6,145.47 and 1,018.98

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Solution

The fourth proportional to 4,096.98, 6,145.47 and 1,018.98 is: 1,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.98 : 6,145.47 = 1,018.98 : x
  2. Step 2: Convert to fraction form
    4,096.98/6,145.47 = 1,018.98/x
  3. Step 3: Cross multiply
    4,096.98x = 6,145.47 × 1,018.98
  4. Step 4: Simplify right side
    4,096.98x = 6,262,111.02
  5. Step 5: Solve for x
    x = 6,262,111.02/4,096.98
  6. Step 6: Final answer
    x = 1,528.47

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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.