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Finding the Fourth Proportional to 1,856.37, 2,784.41 and 469.72

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Solution

The fourth proportional to 1,856.37, 2,784.41 and 469.72 is: 704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.37 : 2,784.41 = 469.72 : x
  2. Step 2: Convert to fraction form
    1,856.37/2,784.41 = 469.72/x
  3. Step 3: Cross multiply
    1,856.37x = 2,784.41 × 469.72
  4. Step 4: Simplify right side
    1,856.37x = 1,307,893.07
  5. Step 5: Solve for x
    x = 1,307,893.07/1,856.37
  6. Step 6: Final answer
    x = 704.54

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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.