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Finding the Fourth Proportional to 2,133.94, 2,945.75 and 1,435.72

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Solution

The fourth proportional to 2,133.94, 2,945.75 and 1,435.72 is: 1,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.94 : 2,945.75 = 1,435.72 : x
  2. Step 2: Convert to fraction form
    2,133.94/2,945.75 = 1,435.72/x
  3. Step 3: Cross multiply
    2,133.94x = 2,945.75 × 1,435.72
  4. Step 4: Simplify right side
    2,133.94x = 4,229,272.19
  5. Step 5: Solve for x
    x = 4,229,272.19/2,133.94
  6. Step 6: Final answer
    x = 1,981.91

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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.