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Finding the Fourth Proportional to 2,152.93, 3,227.50 and 1,420.96

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Solution

The fourth proportional to 2,152.93, 3,227.50 and 1,420.96 is: 2,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.93 : 3,227.50 = 1,420.96 : x
  2. Step 2: Convert to fraction form
    2,152.93/3,227.50 = 1,420.96/x
  3. Step 3: Cross multiply
    2,152.93x = 3,227.50 × 1,420.96
  4. Step 4: Simplify right side
    2,152.93x = 4,586,148.40
  5. Step 5: Solve for x
    x = 4,586,148.40/2,152.93
  6. Step 6: Final answer
    x = 2,130.19

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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.