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Finding the Fourth Proportional to 2,282.63, 3,424.16 and 1,050.38

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Solution

The fourth proportional to 2,282.63, 3,424.16 and 1,050.38 is: 1,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.63 : 3,424.16 = 1,050.38 : x
  2. Step 2: Convert to fraction form
    2,282.63/3,424.16 = 1,050.38/x
  3. Step 3: Cross multiply
    2,282.63x = 3,424.16 × 1,050.38
  4. Step 4: Simplify right side
    2,282.63x = 3,596,646.81
  5. Step 5: Solve for x
    x = 3,596,646.81/2,282.63
  6. Step 6: Final answer
    x = 1,575.66

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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.