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Finding the Fourth Proportional to 1,541.24, 2,309.72 and 847.07

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Solution

The fourth proportional to 1,541.24, 2,309.72 and 847.07 is: 1,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.24 : 2,309.72 = 847.07 : x
  2. Step 2: Convert to fraction form
    1,541.24/2,309.72 = 847.07/x
  3. Step 3: Cross multiply
    1,541.24x = 2,309.72 × 847.07
  4. Step 4: Simplify right side
    1,541.24x = 1,956,478.74
  5. Step 5: Solve for x
    x = 1,956,478.74/1,541.24
  6. Step 6: Final answer
    x = 1,269.42

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Why These Related Problems?

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