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Finding the Fourth Proportional to 2,501.94, 3,750.32 and 941.64

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Solution

The fourth proportional to 2,501.94, 3,750.32 and 941.64 is: 1,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.94 : 3,750.32 = 941.64 : x
  2. Step 2: Convert to fraction form
    2,501.94/3,750.32 = 941.64/x
  3. Step 3: Cross multiply
    2,501.94x = 3,750.32 × 941.64
  4. Step 4: Simplify right side
    2,501.94x = 3,531,451.32
  5. Step 5: Solve for x
    x = 3,531,451.32/2,501.94
  6. Step 6: Final answer
    x = 1,411.49

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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.