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Finding the Fourth Proportional to 1,657.30, 2,472.73 and 1,441.30

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Solution

The fourth proportional to 1,657.30, 2,472.73 and 1,441.30 is: 2,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.30 : 2,472.73 = 1,441.30 : x
  2. Step 2: Convert to fraction form
    1,657.30/2,472.73 = 1,441.30/x
  3. Step 3: Cross multiply
    1,657.30x = 2,472.73 × 1,441.30
  4. Step 4: Simplify right side
    1,657.30x = 3,563,945.75
  5. Step 5: Solve for x
    x = 3,563,945.75/1,657.30
  6. Step 6: Final answer
    x = 2,150.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.