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Finding the Fourth Proportional to 1,856.07, 2,784.23 and 623.39

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Solution

The fourth proportional to 1,856.07, 2,784.23 and 623.39 is: 935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.07 : 2,784.23 = 623.39 : x
  2. Step 2: Convert to fraction form
    1,856.07/2,784.23 = 623.39/x
  3. Step 3: Cross multiply
    1,856.07x = 2,784.23 × 623.39
  4. Step 4: Simplify right side
    1,856.07x = 1,735,644.10
  5. Step 5: Solve for x
    x = 1,735,644.10/1,856.07
  6. Step 6: Final answer
    x = 935.12

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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.