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Finding the Fourth Proportional to 2,898.27, 4,342.77 and 1,509.57

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Solution

The fourth proportional to 2,898.27, 4,342.77 and 1,509.57 is: 2,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.27 : 4,342.77 = 1,509.57 : x
  2. Step 2: Convert to fraction form
    2,898.27/4,342.77 = 1,509.57/x
  3. Step 3: Cross multiply
    2,898.27x = 4,342.77 × 1,509.57
  4. Step 4: Simplify right side
    2,898.27x = 6,555,715.31
  5. Step 5: Solve for x
    x = 6,555,715.31/2,898.27
  6. Step 6: Final answer
    x = 2,261.94

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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.