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Finding the Fourth Proportional to 2,037.42, 2,811.42 and 1,153.08

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Solution

The fourth proportional to 2,037.42, 2,811.42 and 1,153.08 is: 1,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.42 : 2,811.42 = 1,153.08 : x
  2. Step 2: Convert to fraction form
    2,037.42/2,811.42 = 1,153.08/x
  3. Step 3: Cross multiply
    2,037.42x = 2,811.42 × 1,153.08
  4. Step 4: Simplify right side
    2,037.42x = 3,241,792.17
  5. Step 5: Solve for x
    x = 3,241,792.17/2,037.42
  6. Step 6: Final answer
    x = 1,591.13

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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.