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Finding the Fourth Proportional to 2,455.81, 3,681.34 and 1,575.83

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Solution

The fourth proportional to 2,455.81, 3,681.34 and 1,575.83 is: 2,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.81 : 3,681.34 = 1,575.83 : x
  2. Step 2: Convert to fraction form
    2,455.81/3,681.34 = 1,575.83/x
  3. Step 3: Cross multiply
    2,455.81x = 3,681.34 × 1,575.83
  4. Step 4: Simplify right side
    2,455.81x = 5,801,166.01
  5. Step 5: Solve for x
    x = 5,801,166.01/2,455.81
  6. Step 6: Final answer
    x = 2,362.22

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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.