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Finding the Fourth Proportional to 2,430.44, 3,354 and 1,382.50

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Solution

The fourth proportional to 2,430.44, 3,354 and 1,382.50 is: 1,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.44 : 3,354 = 1,382.50 : x
  2. Step 2: Convert to fraction form
    2,430.44/3,354 = 1,382.50/x
  3. Step 3: Cross multiply
    2,430.44x = 3,354 × 1,382.50
  4. Step 4: Simplify right side
    2,430.44x = 4,636,905
  5. Step 5: Solve for x
    x = 4,636,905/2,430.44
  6. Step 6: Final answer
    x = 1,907.85

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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.