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Finding the Fourth Proportional to 1,653.34, 2,478.54 and 923.14

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Solution

The fourth proportional to 1,653.34, 2,478.54 and 923.14 is: 1,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.34 : 2,478.54 = 923.14 : x
  2. Step 2: Convert to fraction form
    1,653.34/2,478.54 = 923.14/x
  3. Step 3: Cross multiply
    1,653.34x = 2,478.54 × 923.14
  4. Step 4: Simplify right side
    1,653.34x = 2,288,039.42
  5. Step 5: Solve for x
    x = 2,288,039.42/1,653.34
  6. Step 6: Final answer
    x = 1,383.89

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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.