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Finding the Fourth Proportional to 2,342.40, 3,232.62 and 1,503.84

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Solution

The fourth proportional to 2,342.40, 3,232.62 and 1,503.84 is: 2,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.40 : 3,232.62 = 1,503.84 : x
  2. Step 2: Convert to fraction form
    2,342.40/3,232.62 = 1,503.84/x
  3. Step 3: Cross multiply
    2,342.40x = 3,232.62 × 1,503.84
  4. Step 4: Simplify right side
    2,342.40x = 4,861,343.26
  5. Step 5: Solve for x
    x = 4,861,343.26/2,342.40
  6. Step 6: Final answer
    x = 2,075.37

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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.