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Finding the Fourth Proportional to 1,653.94, 2,282.78 and 945.76

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Solution

The fourth proportional to 1,653.94, 2,282.78 and 945.76 is: 1,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.94 : 2,282.78 = 945.76 : x
  2. Step 2: Convert to fraction form
    1,653.94/2,282.78 = 945.76/x
  3. Step 3: Cross multiply
    1,653.94x = 2,282.78 × 945.76
  4. Step 4: Simplify right side
    1,653.94x = 2,158,962.01
  5. Step 5: Solve for x
    x = 2,158,962.01/1,653.94
  6. Step 6: Final answer
    x = 1,305.34

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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.