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Finding the Fourth Proportional to 2,300.66, 3,174.99 and 1,306.13

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Solution

The fourth proportional to 2,300.66, 3,174.99 and 1,306.13 is: 1,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.66 : 3,174.99 = 1,306.13 : x
  2. Step 2: Convert to fraction form
    2,300.66/3,174.99 = 1,306.13/x
  3. Step 3: Cross multiply
    2,300.66x = 3,174.99 × 1,306.13
  4. Step 4: Simplify right side
    2,300.66x = 4,146,933.81
  5. Step 5: Solve for x
    x = 4,146,933.81/2,300.66
  6. Step 6: Final answer
    x = 1,802.50

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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.