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Finding the Fourth Proportional to 1,551.83, 2,141.64 and 888.84

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Solution

The fourth proportional to 1,551.83, 2,141.64 and 888.84 is: 1,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.83 : 2,141.64 = 888.84 : x
  2. Step 2: Convert to fraction form
    1,551.83/2,141.64 = 888.84/x
  3. Step 3: Cross multiply
    1,551.83x = 2,141.64 × 888.84
  4. Step 4: Simplify right side
    1,551.83x = 1,903,575.30
  5. Step 5: Solve for x
    x = 1,903,575.30/1,551.83
  6. Step 6: Final answer
    x = 1,226.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.