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Finding the Fourth Proportional to 1,678.68, 2,518.44 and 856.93

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Solution

The fourth proportional to 1,678.68, 2,518.44 and 856.93 is: 1,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.68 : 2,518.44 = 856.93 : x
  2. Step 2: Convert to fraction form
    1,678.68/2,518.44 = 856.93/x
  3. Step 3: Cross multiply
    1,678.68x = 2,518.44 × 856.93
  4. Step 4: Simplify right side
    1,678.68x = 2,158,126.79
  5. Step 5: Solve for x
    x = 2,158,126.79/1,678.68
  6. Step 6: Final answer
    x = 1,285.61

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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.