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Finding the Fourth Proportional to 1,657.65, 2,486.99 and 683.83

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Solution

The fourth proportional to 1,657.65, 2,486.99 and 683.83 is: 1,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.65 : 2,486.99 = 683.83 : x
  2. Step 2: Convert to fraction form
    1,657.65/2,486.99 = 683.83/x
  3. Step 3: Cross multiply
    1,657.65x = 2,486.99 × 683.83
  4. Step 4: Simplify right side
    1,657.65x = 1,700,678.37
  5. Step 5: Solve for x
    x = 1,700,678.37/1,657.65
  6. Step 6: Final answer
    x = 1,025.96

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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.