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Finding the Fourth Proportional to 1,537.43, 2,294.98 and 1,423.22

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Solution

The fourth proportional to 1,537.43, 2,294.98 and 1,423.22 is: 2,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.43 : 2,294.98 = 1,423.22 : x
  2. Step 2: Convert to fraction form
    1,537.43/2,294.98 = 1,423.22/x
  3. Step 3: Cross multiply
    1,537.43x = 2,294.98 × 1,423.22
  4. Step 4: Simplify right side
    1,537.43x = 3,266,267.32
  5. Step 5: Solve for x
    x = 3,266,267.32/1,537.43
  6. Step 6: Final answer
    x = 2,124.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.