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Finding the Fourth Proportional to 2,458.38, 3,685.72 and 1,484.25

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Solution

The fourth proportional to 2,458.38, 3,685.72 and 1,484.25 is: 2,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.38 : 3,685.72 = 1,484.25 : x
  2. Step 2: Convert to fraction form
    2,458.38/3,685.72 = 1,484.25/x
  3. Step 3: Cross multiply
    2,458.38x = 3,685.72 × 1,484.25
  4. Step 4: Simplify right side
    2,458.38x = 5,470,529.91
  5. Step 5: Solve for x
    x = 5,470,529.91/2,458.38
  6. Step 6: Final answer
    x = 2,225.26

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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.