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Finding the Fourth Proportional to 2,315.88, 3,475.59 and 1,618

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Solution

The fourth proportional to 2,315.88, 3,475.59 and 1,618 is: 2,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.88 : 3,475.59 = 1,618 : x
  2. Step 2: Convert to fraction form
    2,315.88/3,475.59 = 1,618/x
  3. Step 3: Cross multiply
    2,315.88x = 3,475.59 × 1,618
  4. Step 4: Simplify right side
    2,315.88x = 5,623,504.62
  5. Step 5: Solve for x
    x = 5,623,504.62/2,315.88
  6. Step 6: Final answer
    x = 2,428.24

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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.