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Finding the Fourth Proportional to 1,464.68, 2,018.90 and 1,344

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Solution

The fourth proportional to 1,464.68, 2,018.90 and 1,344 is: 1,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.68 : 2,018.90 = 1,344 : x
  2. Step 2: Convert to fraction form
    1,464.68/2,018.90 = 1,344/x
  3. Step 3: Cross multiply
    1,464.68x = 2,018.90 × 1,344
  4. Step 4: Simplify right side
    1,464.68x = 2,713,401.60
  5. Step 5: Solve for x
    x = 2,713,401.60/1,464.68
  6. Step 6: Final answer
    x = 1,852.56

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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.