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Finding the Fourth Proportional to 2,316.96, 3,475.44 and 1,018.44

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Solution

The fourth proportional to 2,316.96, 3,475.44 and 1,018.44 is: 1,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.96 : 3,475.44 = 1,018.44 : x
  2. Step 2: Convert to fraction form
    2,316.96/3,475.44 = 1,018.44/x
  3. Step 3: Cross multiply
    2,316.96x = 3,475.44 × 1,018.44
  4. Step 4: Simplify right side
    2,316.96x = 3,539,527.11
  5. Step 5: Solve for x
    x = 3,539,527.11/2,316.96
  6. Step 6: Final answer
    x = 1,527.66

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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.