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Finding the Fourth Proportional to 1,674.70, 2,510.49 and 578.80

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Solution

The fourth proportional to 1,674.70, 2,510.49 and 578.80 is: 867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.70 : 2,510.49 = 578.80 : x
  2. Step 2: Convert to fraction form
    1,674.70/2,510.49 = 578.80/x
  3. Step 3: Cross multiply
    1,674.70x = 2,510.49 × 578.80
  4. Step 4: Simplify right side
    1,674.70x = 1,453,071.61
  5. Step 5: Solve for x
    x = 1,453,071.61/1,674.70
  6. Step 6: Final answer
    x = 867.66

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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.