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Finding the Fourth Proportional to 2,298.81, 3,171.08 and 1,458.03

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Solution

The fourth proportional to 2,298.81, 3,171.08 and 1,458.03 is: 2,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.81 : 3,171.08 = 1,458.03 : x
  2. Step 2: Convert to fraction form
    2,298.81/3,171.08 = 1,458.03/x
  3. Step 3: Cross multiply
    2,298.81x = 3,171.08 × 1,458.03
  4. Step 4: Simplify right side
    2,298.81x = 4,623,545.31
  5. Step 5: Solve for x
    x = 4,623,545.31/2,298.81
  6. Step 6: Final answer
    x = 2,011.27

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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.