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Finding the Fourth Proportional to 1,893.84, 2,835.93 and 1,584.91

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Solution

The fourth proportional to 1,893.84, 2,835.93 and 1,584.91 is: 2,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.84 : 2,835.93 = 1,584.91 : x
  2. Step 2: Convert to fraction form
    1,893.84/2,835.93 = 1,584.91/x
  3. Step 3: Cross multiply
    1,893.84x = 2,835.93 × 1,584.91
  4. Step 4: Simplify right side
    1,893.84x = 4,494,693.82
  5. Step 5: Solve for x
    x = 4,494,693.82/1,893.84
  6. Step 6: Final answer
    x = 2,373.32

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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.