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Finding the Fourth Proportional to 1,623.70, 2,436.02 and 746.47

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Solution

The fourth proportional to 1,623.70, 2,436.02 and 746.47 is: 1,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.70 : 2,436.02 = 746.47 : x
  2. Step 2: Convert to fraction form
    1,623.70/2,436.02 = 746.47/x
  3. Step 3: Cross multiply
    1,623.70x = 2,436.02 × 746.47
  4. Step 4: Simplify right side
    1,623.70x = 1,818,422.71
  5. Step 5: Solve for x
    x = 1,818,422.71/1,623.70
  6. Step 6: Final answer
    x = 1,119.92

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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.