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Finding the Fourth Proportional to 1,744.90, 2,410.09 and 1,304.75

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Solution

The fourth proportional to 1,744.90, 2,410.09 and 1,304.75 is: 1,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.90 : 2,410.09 = 1,304.75 : x
  2. Step 2: Convert to fraction form
    1,744.90/2,410.09 = 1,304.75/x
  3. Step 3: Cross multiply
    1,744.90x = 2,410.09 × 1,304.75
  4. Step 4: Simplify right side
    1,744.90x = 3,144,567.69
  5. Step 5: Solve for x
    x = 3,144,567.69/1,744.90
  6. Step 6: Final answer
    x = 1,802.15

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1.5x scale

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.