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Finding the Fourth Proportional to 1,750.96, 2,416.32 and 964.96

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Solution

The fourth proportional to 1,750.96, 2,416.32 and 964.96 is: 1,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.96 : 2,416.32 = 964.96 : x
  2. Step 2: Convert to fraction form
    1,750.96/2,416.32 = 964.96/x
  3. Step 3: Cross multiply
    1,750.96x = 2,416.32 × 964.96
  4. Step 4: Simplify right side
    1,750.96x = 2,331,652.15
  5. Step 5: Solve for x
    x = 2,331,652.15/1,750.96
  6. Step 6: Final answer
    x = 1,331.64

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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.