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Finding the Fourth Proportional to 1,619.63, 2,427.71 and 924.80

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Solution

The fourth proportional to 1,619.63, 2,427.71 and 924.80 is: 1,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.63 : 2,427.71 = 924.80 : x
  2. Step 2: Convert to fraction form
    1,619.63/2,427.71 = 924.80/x
  3. Step 3: Cross multiply
    1,619.63x = 2,427.71 × 924.80
  4. Step 4: Simplify right side
    1,619.63x = 2,245,146.21
  5. Step 5: Solve for x
    x = 2,245,146.21/1,619.63
  6. Step 6: Final answer
    x = 1,386.21

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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.