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Finding the Fourth Proportional to 2,855.40, 4,283.10 and 1,315.56

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Solution

The fourth proportional to 2,855.40, 4,283.10 and 1,315.56 is: 1,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.40 : 4,283.10 = 1,315.56 : x
  2. Step 2: Convert to fraction form
    2,855.40/4,283.10 = 1,315.56/x
  3. Step 3: Cross multiply
    2,855.40x = 4,283.10 × 1,315.56
  4. Step 4: Simplify right side
    2,855.40x = 5,634,675.04
  5. Step 5: Solve for x
    x = 5,634,675.04/2,855.40
  6. Step 6: Final answer
    x = 1,973.34

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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.