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Finding the Fourth Proportional to 2,858, 4,287.64 and 1,034

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Solution

The fourth proportional to 2,858, 4,287.64 and 1,034 is: 1,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858 : 4,287.64 = 1,034 : x
  2. Step 2: Convert to fraction form
    2,858/4,287.64 = 1,034/x
  3. Step 3: Cross multiply
    2,858x = 4,287.64 × 1,034
  4. Step 4: Simplify right side
    2,858x = 4,433,419.76
  5. Step 5: Solve for x
    x = 4,433,419.76/2,858
  6. Step 6: Final answer
    x = 1,551.23

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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.