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Finding the Fourth Proportional to 1,735.42, 2,614.84 and 1,434.01

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Solution

The fourth proportional to 1,735.42, 2,614.84 and 1,434.01 is: 2,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.42 : 2,614.84 = 1,434.01 : x
  2. Step 2: Convert to fraction form
    1,735.42/2,614.84 = 1,434.01/x
  3. Step 3: Cross multiply
    1,735.42x = 2,614.84 × 1,434.01
  4. Step 4: Simplify right side
    1,735.42x = 3,749,706.71
  5. Step 5: Solve for x
    x = 3,749,706.71/1,735.42
  6. Step 6: Final answer
    x = 2,160.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.