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Finding the Fourth Proportional to 1,587.90, 2,383.90 and 1,222.94

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Solution

The fourth proportional to 1,587.90, 2,383.90 and 1,222.94 is: 1,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.90 : 2,383.90 = 1,222.94 : x
  2. Step 2: Convert to fraction form
    1,587.90/2,383.90 = 1,222.94/x
  3. Step 3: Cross multiply
    1,587.90x = 2,383.90 × 1,222.94
  4. Step 4: Simplify right side
    1,587.90x = 2,915,366.67
  5. Step 5: Solve for x
    x = 2,915,366.67/1,587.90
  6. Step 6: Final answer
    x = 1,835.99

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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.