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Finding the Fourth Proportional to 1,735.63, 2,390.31 and 1,624.46

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Solution

The fourth proportional to 1,735.63, 2,390.31 and 1,624.46 is: 2,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.63 : 2,390.31 = 1,624.46 : x
  2. Step 2: Convert to fraction form
    1,735.63/2,390.31 = 1,624.46/x
  3. Step 3: Cross multiply
    1,735.63x = 2,390.31 × 1,624.46
  4. Step 4: Simplify right side
    1,735.63x = 3,882,962.98
  5. Step 5: Solve for x
    x = 3,882,962.98/1,735.63
  6. Step 6: Final answer
    x = 2,237.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.