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Finding the Fourth Proportional to 3,164.68, 4,746.66 and 856.36

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Solution

The fourth proportional to 3,164.68, 4,746.66 and 856.36 is: 1,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.68 : 4,746.66 = 856.36 : x
  2. Step 2: Convert to fraction form
    3,164.68/4,746.66 = 856.36/x
  3. Step 3: Cross multiply
    3,164.68x = 4,746.66 × 856.36
  4. Step 4: Simplify right side
    3,164.68x = 4,064,849.76
  5. Step 5: Solve for x
    x = 4,064,849.76/3,164.68
  6. Step 6: Final answer
    x = 1,284.44

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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.