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Finding the Fourth Proportional to 1,532.83, 2,113.84 and 1,029.82

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Solution

The fourth proportional to 1,532.83, 2,113.84 and 1,029.82 is: 1,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.83 : 2,113.84 = 1,029.82 : x
  2. Step 2: Convert to fraction form
    1,532.83/2,113.84 = 1,029.82/x
  3. Step 3: Cross multiply
    1,532.83x = 2,113.84 × 1,029.82
  4. Step 4: Simplify right side
    1,532.83x = 2,176,869.56
  5. Step 5: Solve for x
    x = 2,176,869.56/1,532.83
  6. Step 6: Final answer
    x = 1,420.16

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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.