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Finding the Fourth Proportional to 1,430.92, 2,141.70 and 883.54

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Solution

The fourth proportional to 1,430.92, 2,141.70 and 883.54 is: 1,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.92 : 2,141.70 = 883.54 : x
  2. Step 2: Convert to fraction form
    1,430.92/2,141.70 = 883.54/x
  3. Step 3: Cross multiply
    1,430.92x = 2,141.70 × 883.54
  4. Step 4: Simplify right side
    1,430.92x = 1,892,277.62
  5. Step 5: Solve for x
    x = 1,892,277.62/1,430.92
  6. Step 6: Final answer
    x = 1,322.42

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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.