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Finding the Fourth Proportional to 2,298.65, 3,172.23 and 1,304.12

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Solution

The fourth proportional to 2,298.65, 3,172.23 and 1,304.12 is: 1,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.65 : 3,172.23 = 1,304.12 : x
  2. Step 2: Convert to fraction form
    2,298.65/3,172.23 = 1,304.12/x
  3. Step 3: Cross multiply
    2,298.65x = 3,172.23 × 1,304.12
  4. Step 4: Simplify right side
    2,298.65x = 4,136,968.59
  5. Step 5: Solve for x
    x = 4,136,968.59/2,298.65
  6. Step 6: Final answer
    x = 1,799.74

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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.