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Finding the Fourth Proportional to 1,856.14, 2,783 and 606.58

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Solution

The fourth proportional to 1,856.14, 2,783 and 606.58 is: 909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.14 : 2,783 = 606.58 : x
  2. Step 2: Convert to fraction form
    1,856.14/2,783 = 606.58/x
  3. Step 3: Cross multiply
    1,856.14x = 2,783 × 606.58
  4. Step 4: Simplify right side
    1,856.14x = 1,688,112.14
  5. Step 5: Solve for x
    x = 1,688,112.14/1,856.14
  6. Step 6: Final answer
    x = 909.47

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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.