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Finding the Fourth Proportional to 1,548.56, 2,321.94 and 898.94

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Solution

The fourth proportional to 1,548.56, 2,321.94 and 898.94 is: 1,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.56 : 2,321.94 = 898.94 : x
  2. Step 2: Convert to fraction form
    1,548.56/2,321.94 = 898.94/x
  3. Step 3: Cross multiply
    1,548.56x = 2,321.94 × 898.94
  4. Step 4: Simplify right side
    1,548.56x = 2,087,284.74
  5. Step 5: Solve for x
    x = 2,087,284.74/1,548.56
  6. Step 6: Final answer
    x = 1,347.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.