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Finding the Fourth Proportional to 1,772.80, 2,646.08 and 1,663.36

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Solution

The fourth proportional to 1,772.80, 2,646.08 and 1,663.36 is: 2,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.80 : 2,646.08 = 1,663.36 : x
  2. Step 2: Convert to fraction form
    1,772.80/2,646.08 = 1,663.36/x
  3. Step 3: Cross multiply
    1,772.80x = 2,646.08 × 1,663.36
  4. Step 4: Simplify right side
    1,772.80x = 4,401,383.63
  5. Step 5: Solve for x
    x = 4,401,383.63/1,772.80
  6. Step 6: Final answer
    x = 2,482.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.