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Finding the Fourth Proportional to 1,619.54, 2,429.33 and 508.92

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Solution

The fourth proportional to 1,619.54, 2,429.33 and 508.92 is: 763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.54 : 2,429.33 = 508.92 : x
  2. Step 2: Convert to fraction form
    1,619.54/2,429.33 = 508.92/x
  3. Step 3: Cross multiply
    1,619.54x = 2,429.33 × 508.92
  4. Step 4: Simplify right side
    1,619.54x = 1,236,334.10
  5. Step 5: Solve for x
    x = 1,236,334.10/1,619.54
  6. Step 6: Final answer
    x = 763.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.