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Finding the Fourth Proportional to 2,089.37, 2,881.71 and 1,343.40

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Solution

The fourth proportional to 2,089.37, 2,881.71 and 1,343.40 is: 1,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.37 : 2,881.71 = 1,343.40 : x
  2. Step 2: Convert to fraction form
    2,089.37/2,881.71 = 1,343.40/x
  3. Step 3: Cross multiply
    2,089.37x = 2,881.71 × 1,343.40
  4. Step 4: Simplify right side
    2,089.37x = 3,871,289.21
  5. Step 5: Solve for x
    x = 3,871,289.21/2,089.37
  6. Step 6: Final answer
    x = 1,852.85

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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.