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Finding the Fourth Proportional to 2,848.83, 4,271.81 and 901.23

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Solution

The fourth proportional to 2,848.83, 4,271.81 and 901.23 is: 1,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.83 : 4,271.81 = 901.23 : x
  2. Step 2: Convert to fraction form
    2,848.83/4,271.81 = 901.23/x
  3. Step 3: Cross multiply
    2,848.83x = 4,271.81 × 901.23
  4. Step 4: Simplify right side
    2,848.83x = 3,849,878.82
  5. Step 5: Solve for x
    x = 3,849,878.82/2,848.83
  6. Step 6: Final answer
    x = 1,351.39

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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.