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Finding the Fourth Proportional to 2,315.79, 3,474.90 and 1,018.17

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Solution

The fourth proportional to 2,315.79, 3,474.90 and 1,018.17 is: 1,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.79 : 3,474.90 = 1,018.17 : x
  2. Step 2: Convert to fraction form
    2,315.79/3,474.90 = 1,018.17/x
  3. Step 3: Cross multiply
    2,315.79x = 3,474.90 × 1,018.17
  4. Step 4: Simplify right side
    2,315.79x = 3,538,038.93
  5. Step 5: Solve for x
    x = 3,538,038.93/2,315.79
  6. Step 6: Final answer
    x = 1,527.79

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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.