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Finding the Fourth Proportional to 2,655.80, 3,980.89 and 899.25

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Solution

The fourth proportional to 2,655.80, 3,980.89 and 899.25 is: 1,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.80 : 3,980.89 = 899.25 : x
  2. Step 2: Convert to fraction form
    2,655.80/3,980.89 = 899.25/x
  3. Step 3: Cross multiply
    2,655.80x = 3,980.89 × 899.25
  4. Step 4: Simplify right side
    2,655.80x = 3,579,815.33
  5. Step 5: Solve for x
    x = 3,579,815.33/2,655.80
  6. Step 6: Final answer
    x = 1,347.92

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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.