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Finding the Fourth Proportional to 1,534.79, 2,304.49 and 921.24

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Solution

The fourth proportional to 1,534.79, 2,304.49 and 921.24 is: 1,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.79 : 2,304.49 = 921.24 : x
  2. Step 2: Convert to fraction form
    1,534.79/2,304.49 = 921.24/x
  3. Step 3: Cross multiply
    1,534.79x = 2,304.49 × 921.24
  4. Step 4: Simplify right side
    1,534.79x = 2,122,994.70
  5. Step 5: Solve for x
    x = 2,122,994.70/1,534.79
  6. Step 6: Final answer
    x = 1,383.25

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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.