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Finding the Fourth Proportional to 2,037.14, 3,055.47 and 941.21

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Solution

The fourth proportional to 2,037.14, 3,055.47 and 941.21 is: 1,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.14 : 3,055.47 = 941.21 : x
  2. Step 2: Convert to fraction form
    2,037.14/3,055.47 = 941.21/x
  3. Step 3: Cross multiply
    2,037.14x = 3,055.47 × 941.21
  4. Step 4: Simplify right side
    2,037.14x = 2,875,823.64
  5. Step 5: Solve for x
    x = 2,875,823.64/2,037.14
  6. Step 6: Final answer
    x = 1,411.70

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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.