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Finding the Fourth Proportional to 2,053.44, 3,078.24 and 899.04

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Solution

The fourth proportional to 2,053.44, 3,078.24 and 899.04 is: 1,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.44 : 3,078.24 = 899.04 : x
  2. Step 2: Convert to fraction form
    2,053.44/3,078.24 = 899.04/x
  3. Step 3: Cross multiply
    2,053.44x = 3,078.24 × 899.04
  4. Step 4: Simplify right side
    2,053.44x = 2,767,460.89
  5. Step 5: Solve for x
    x = 2,767,460.89/2,053.44
  6. Step 6: Final answer
    x = 1,347.72

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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.