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Finding the Fourth Proportional to 1,674.02, 2,510.89 and 750.33

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Solution

The fourth proportional to 1,674.02, 2,510.89 and 750.33 is: 1,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.02 : 2,510.89 = 750.33 : x
  2. Step 2: Convert to fraction form
    1,674.02/2,510.89 = 750.33/x
  3. Step 3: Cross multiply
    1,674.02x = 2,510.89 × 750.33
  4. Step 4: Simplify right side
    1,674.02x = 1,883,994.22
  5. Step 5: Solve for x
    x = 1,883,994.22/1,674.02
  6. Step 6: Final answer
    x = 1,125.43

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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.