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Finding the Fourth Proportional to 1,856.42, 2,782.65 and 622.70

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Solution

The fourth proportional to 1,856.42, 2,782.65 and 622.70 is: 933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.42 : 2,782.65 = 622.70 : x
  2. Step 2: Convert to fraction form
    1,856.42/2,782.65 = 622.70/x
  3. Step 3: Cross multiply
    1,856.42x = 2,782.65 × 622.70
  4. Step 4: Simplify right side
    1,856.42x = 1,732,756.16
  5. Step 5: Solve for x
    x = 1,732,756.16/1,856.42
  6. Step 6: Final answer
    x = 933.39

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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.