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Finding the Fourth Proportional to 1,532.13, 2,114.34 and 833.50

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Solution

The fourth proportional to 1,532.13, 2,114.34 and 833.50 is: 1,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.13 : 2,114.34 = 833.50 : x
  2. Step 2: Convert to fraction form
    1,532.13/2,114.34 = 833.50/x
  3. Step 3: Cross multiply
    1,532.13x = 2,114.34 × 833.50
  4. Step 4: Simplify right side
    1,532.13x = 1,762,302.39
  5. Step 5: Solve for x
    x = 1,762,302.39/1,532.13
  6. Step 6: Final answer
    x = 1,150.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.