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Finding the Fourth Proportional to 1,674.06, 2,509.44 and 750.12

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Solution

The fourth proportional to 1,674.06, 2,509.44 and 750.12 is: 1,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.06 : 2,509.44 = 750.12 : x
  2. Step 2: Convert to fraction form
    1,674.06/2,509.44 = 750.12/x
  3. Step 3: Cross multiply
    1,674.06x = 2,509.44 × 750.12
  4. Step 4: Simplify right side
    1,674.06x = 1,882,381.13
  5. Step 5: Solve for x
    x = 1,882,381.13/1,674.06
  6. Step 6: Final answer
    x = 1,124.44

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Why These Related Problems?

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