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Finding the Fourth Proportional to 1,435.29, 2,152.49 and 950.91

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Solution

The fourth proportional to 1,435.29, 2,152.49 and 950.91 is: 1,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.29 : 2,152.49 = 950.91 : x
  2. Step 2: Convert to fraction form
    1,435.29/2,152.49 = 950.91/x
  3. Step 3: Cross multiply
    1,435.29x = 2,152.49 × 950.91
  4. Step 4: Simplify right side
    1,435.29x = 2,046,819.51
  5. Step 5: Solve for x
    x = 2,046,819.51/1,435.29
  6. Step 6: Final answer
    x = 1,426.07

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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.