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Finding the Fourth Proportional to 1,458.12, 2,186.94 and 432.36

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Solution

The fourth proportional to 1,458.12, 2,186.94 and 432.36 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.12 : 2,186.94 = 432.36 : x
  2. Step 2: Convert to fraction form
    1,458.12/2,186.94 = 432.36/x
  3. Step 3: Cross multiply
    1,458.12x = 2,186.94 × 432.36
  4. Step 4: Simplify right side
    1,458.12x = 945,545.38
  5. Step 5: Solve for x
    x = 945,545.38/1,458.12
  6. Step 6: Final answer
    x = 648.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.