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Finding the Fourth Proportional to 1,623.19, 2,432.84 and 930.34

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Solution

The fourth proportional to 1,623.19, 2,432.84 and 930.34 is: 1,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.19 : 2,432.84 = 930.34 : x
  2. Step 2: Convert to fraction form
    1,623.19/2,432.84 = 930.34/x
  3. Step 3: Cross multiply
    1,623.19x = 2,432.84 × 930.34
  4. Step 4: Simplify right side
    1,623.19x = 2,263,353.07
  5. Step 5: Solve for x
    x = 2,263,353.07/1,623.19
  6. Step 6: Final answer
    x = 1,394.39

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1.5x scale

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.