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Finding the Fourth Proportional to 1,542.40, 2,313.06 and 1,444

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Solution

The fourth proportional to 1,542.40, 2,313.06 and 1,444 is: 2,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.40 : 2,313.06 = 1,444 : x
  2. Step 2: Convert to fraction form
    1,542.40/2,313.06 = 1,444/x
  3. Step 3: Cross multiply
    1,542.40x = 2,313.06 × 1,444
  4. Step 4: Simplify right side
    1,542.40x = 3,340,058.64
  5. Step 5: Solve for x
    x = 3,340,058.64/1,542.40
  6. Step 6: Final answer
    x = 2,165.49

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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.