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Finding the Fourth Proportional to 3,313.72, 4,970.57 and 1,124.00

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Solution

The fourth proportional to 3,313.72, 4,970.57 and 1,124.00 is: 1,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.72 : 4,970.57 = 1,124.00 : x
  2. Step 2: Convert to fraction form
    3,313.72/4,970.57 = 1,124.00/x
  3. Step 3: Cross multiply
    3,313.72x = 4,970.57 × 1,124.00
  4. Step 4: Simplify right side
    3,313.72x = 5,586,890.21
  5. Step 5: Solve for x
    x = 5,586,890.21/3,313.72
  6. Step 6: Final answer
    x = 1,685.99

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1.5x scale

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.