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Finding the Fourth Proportional to 2,905.32, 4,357.92 and 957.64

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Solution

The fourth proportional to 2,905.32, 4,357.92 and 957.64 is: 1,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.32 : 4,357.92 = 957.64 : x
  2. Step 2: Convert to fraction form
    2,905.32/4,357.92 = 957.64/x
  3. Step 3: Cross multiply
    2,905.32x = 4,357.92 × 957.64
  4. Step 4: Simplify right side
    2,905.32x = 4,173,318.51
  5. Step 5: Solve for x
    x = 4,173,318.51/2,905.32
  6. Step 6: Final answer
    x = 1,436.44

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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.