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Finding the Fourth Proportional to 1,776.33, 2,451.56 and 1,304.01

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Solution

The fourth proportional to 1,776.33, 2,451.56 and 1,304.01 is: 1,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.33 : 2,451.56 = 1,304.01 : x
  2. Step 2: Convert to fraction form
    1,776.33/2,451.56 = 1,304.01/x
  3. Step 3: Cross multiply
    1,776.33x = 2,451.56 × 1,304.01
  4. Step 4: Simplify right side
    1,776.33x = 3,196,852.24
  5. Step 5: Solve for x
    x = 3,196,852.24/1,776.33
  6. Step 6: Final answer
    x = 1,799.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.