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Finding the Fourth Proportional to 1,624, 2,241.84 and 1,065.28

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Solution

The fourth proportional to 1,624, 2,241.84 and 1,065.28 is: 1,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624 : 2,241.84 = 1,065.28 : x
  2. Step 2: Convert to fraction form
    1,624/2,241.84 = 1,065.28/x
  3. Step 3: Cross multiply
    1,624x = 2,241.84 × 1,065.28
  4. Step 4: Simplify right side
    1,624x = 2,388,187.32
  5. Step 5: Solve for x
    x = 2,388,187.32/1,624
  6. Step 6: Final answer
    x = 1,470.56

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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.