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Finding the Fourth Proportional to 2,904.82, 4,357.32 and 957.16

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Solution

The fourth proportional to 2,904.82, 4,357.32 and 957.16 is: 1,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.82 : 4,357.32 = 957.16 : x
  2. Step 2: Convert to fraction form
    2,904.82/4,357.32 = 957.16/x
  3. Step 3: Cross multiply
    2,904.82x = 4,357.32 × 957.16
  4. Step 4: Simplify right side
    2,904.82x = 4,170,652.41
  5. Step 5: Solve for x
    x = 4,170,652.41/2,904.82
  6. Step 6: Final answer
    x = 1,435.77

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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.