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Finding the Fourth Proportional to 1,503.92, 2,074.80 and 944.14

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Solution

The fourth proportional to 1,503.92, 2,074.80 and 944.14 is: 1,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.92 : 2,074.80 = 944.14 : x
  2. Step 2: Convert to fraction form
    1,503.92/2,074.80 = 944.14/x
  3. Step 3: Cross multiply
    1,503.92x = 2,074.80 × 944.14
  4. Step 4: Simplify right side
    1,503.92x = 1,958,901.67
  5. Step 5: Solve for x
    x = 1,958,901.67/1,503.92
  6. Step 6: Final answer
    x = 1,302.53

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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.