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Finding the Fourth Proportional to 1,846.96, 2,774.04 and 1,586.88

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Solution

The fourth proportional to 1,846.96, 2,774.04 and 1,586.88 is: 2,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.96 : 2,774.04 = 1,586.88 : x
  2. Step 2: Convert to fraction form
    1,846.96/2,774.04 = 1,586.88/x
  3. Step 3: Cross multiply
    1,846.96x = 2,774.04 × 1,586.88
  4. Step 4: Simplify right side
    1,846.96x = 4,402,068.60
  5. Step 5: Solve for x
    x = 4,402,068.60/1,846.96
  6. Step 6: Final answer
    x = 2,383.41

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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.