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Finding the Fourth Proportional to 1,651.79, 2,478.40 and 1,616.36

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Solution

The fourth proportional to 1,651.79, 2,478.40 and 1,616.36 is: 2,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.79 : 2,478.40 = 1,616.36 : x
  2. Step 2: Convert to fraction form
    1,651.79/2,478.40 = 1,616.36/x
  3. Step 3: Cross multiply
    1,651.79x = 2,478.40 × 1,616.36
  4. Step 4: Simplify right side
    1,651.79x = 4,005,970.19
  5. Step 5: Solve for x
    x = 4,005,970.19/1,651.79
  6. Step 6: Final answer
    x = 2,425.23

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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.