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Finding the Fourth Proportional to 2,897.37, 4,343.63 and 1,434.51

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Solution

The fourth proportional to 2,897.37, 4,343.63 and 1,434.51 is: 2,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.37 : 4,343.63 = 1,434.51 : x
  2. Step 2: Convert to fraction form
    2,897.37/4,343.63 = 1,434.51/x
  3. Step 3: Cross multiply
    2,897.37x = 4,343.63 × 1,434.51
  4. Step 4: Simplify right side
    2,897.37x = 6,230,973.50
  5. Step 5: Solve for x
    x = 6,230,973.50/2,897.37
  6. Step 6: Final answer
    x = 2,150.56

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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.