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Finding the Fourth Proportional to 1,657.94, 2,487.57 and 683.82

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Solution

The fourth proportional to 1,657.94, 2,487.57 and 683.82 is: 1,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.94 : 2,487.57 = 683.82 : x
  2. Step 2: Convert to fraction form
    1,657.94/2,487.57 = 683.82/x
  3. Step 3: Cross multiply
    1,657.94x = 2,487.57 × 683.82
  4. Step 4: Simplify right side
    1,657.94x = 1,701,050.12
  5. Step 5: Solve for x
    x = 1,701,050.12/1,657.94
  6. Step 6: Final answer
    x = 1,026.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.