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Finding the Fourth Proportional to 1,669.50, 2,303.91 and 933.50

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Solution

The fourth proportional to 1,669.50, 2,303.91 and 933.50 is: 1,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.50 : 2,303.91 = 933.50 : x
  2. Step 2: Convert to fraction form
    1,669.50/2,303.91 = 933.50/x
  3. Step 3: Cross multiply
    1,669.50x = 2,303.91 × 933.50
  4. Step 4: Simplify right side
    1,669.50x = 2,150,699.99
  5. Step 5: Solve for x
    x = 2,150,699.99/1,669.50
  6. Step 6: Final answer
    x = 1,288.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.