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Finding the Fourth Proportional to 2,298.55, 3,171.82 and 1,304.00

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Solution

The fourth proportional to 2,298.55, 3,171.82 and 1,304.00 is: 1,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.55 : 3,171.82 = 1,304.00 : x
  2. Step 2: Convert to fraction form
    2,298.55/3,171.82 = 1,304.00/x
  3. Step 3: Cross multiply
    2,298.55x = 3,171.82 × 1,304.00
  4. Step 4: Simplify right side
    2,298.55x = 4,136,030.90
  5. Step 5: Solve for x
    x = 4,136,030.90/2,298.55
  6. Step 6: Final answer
    x = 1,799.41

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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.