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Finding the Fourth Proportional to 1,856.34, 2,784.44 and 469.67

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Solution

The fourth proportional to 1,856.34, 2,784.44 and 469.67 is: 704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.34 : 2,784.44 = 469.67 : x
  2. Step 2: Convert to fraction form
    1,856.34/2,784.44 = 469.67/x
  3. Step 3: Cross multiply
    1,856.34x = 2,784.44 × 469.67
  4. Step 4: Simplify right side
    1,856.34x = 1,307,751.66
  5. Step 5: Solve for x
    x = 1,307,751.66/1,856.34
  6. Step 6: Final answer
    x = 704.48

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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.