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Finding the Fourth Proportional to 2,970.43, 4,456.67 and 1,122.07

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Solution

The fourth proportional to 2,970.43, 4,456.67 and 1,122.07 is: 1,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.43 : 4,456.67 = 1,122.07 : x
  2. Step 2: Convert to fraction form
    2,970.43/4,456.67 = 1,122.07/x
  3. Step 3: Cross multiply
    2,970.43x = 4,456.67 × 1,122.07
  4. Step 4: Simplify right side
    2,970.43x = 5,000,695.71
  5. Step 5: Solve for x
    x = 5,000,695.71/2,970.43
  6. Step 6: Final answer
    x = 1,683.49

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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.