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Finding the Fourth Proportional to 2,503.43, 3,753.02 and 1,530.22

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Solution

The fourth proportional to 2,503.43, 3,753.02 and 1,530.22 is: 2,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.43 : 3,753.02 = 1,530.22 : x
  2. Step 2: Convert to fraction form
    2,503.43/3,753.02 = 1,530.22/x
  3. Step 3: Cross multiply
    2,503.43x = 3,753.02 × 1,530.22
  4. Step 4: Simplify right side
    2,503.43x = 5,742,946.26
  5. Step 5: Solve for x
    x = 5,742,946.26/2,503.43
  6. Step 6: Final answer
    x = 2,294.03

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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.