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Finding the Fourth Proportional to 1,674.94, 2,510.52 and 808.24

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Solution

The fourth proportional to 1,674.94, 2,510.52 and 808.24 is: 1,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.94 : 2,510.52 = 808.24 : x
  2. Step 2: Convert to fraction form
    1,674.94/2,510.52 = 808.24/x
  3. Step 3: Cross multiply
    1,674.94x = 2,510.52 × 808.24
  4. Step 4: Simplify right side
    1,674.94x = 2,029,102.68
  5. Step 5: Solve for x
    x = 2,029,102.68/1,674.94
  6. Step 6: Final answer
    x = 1,211.45

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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.