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Finding the Fourth Proportional to 1,903.35, 2,612.64 and 1,688.85

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Solution

The fourth proportional to 1,903.35, 2,612.64 and 1,688.85 is: 2,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.35 : 2,612.64 = 1,688.85 : x
  2. Step 2: Convert to fraction form
    1,903.35/2,612.64 = 1,688.85/x
  3. Step 3: Cross multiply
    1,903.35x = 2,612.64 × 1,688.85
  4. Step 4: Simplify right side
    1,903.35x = 4,412,357.06
  5. Step 5: Solve for x
    x = 4,412,357.06/1,903.35
  6. Step 6: Final answer
    x = 2,318.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.