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Finding the Fourth Proportional to 1,420.40, 1,961.16 and 923.60

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Solution

The fourth proportional to 1,420.40, 1,961.16 and 923.60 is: 1,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.40 : 1,961.16 = 923.60 : x
  2. Step 2: Convert to fraction form
    1,420.40/1,961.16 = 923.60/x
  3. Step 3: Cross multiply
    1,420.40x = 1,961.16 × 923.60
  4. Step 4: Simplify right side
    1,420.40x = 1,811,327.38
  5. Step 5: Solve for x
    x = 1,811,327.38/1,420.40
  6. Step 6: Final answer
    x = 1,275.22

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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.