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Finding the Fourth Proportional to 1,751.87, 2,628.07 and 641.34

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Solution

The fourth proportional to 1,751.87, 2,628.07 and 641.34 is: 962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.87 : 2,628.07 = 641.34 : x
  2. Step 2: Convert to fraction form
    1,751.87/2,628.07 = 641.34/x
  3. Step 3: Cross multiply
    1,751.87x = 2,628.07 × 641.34
  4. Step 4: Simplify right side
    1,751.87x = 1,685,484.81
  5. Step 5: Solve for x
    x = 1,685,484.81/1,751.87
  6. Step 6: Final answer
    x = 962.10

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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.