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Finding the Fourth Proportional to 2,024.84, 3,037.62 and 871.40

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Solution

The fourth proportional to 2,024.84, 3,037.62 and 871.40 is: 1,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.84 : 3,037.62 = 871.40 : x
  2. Step 2: Convert to fraction form
    2,024.84/3,037.62 = 871.40/x
  3. Step 3: Cross multiply
    2,024.84x = 3,037.62 × 871.40
  4. Step 4: Simplify right side
    2,024.84x = 2,646,982.07
  5. Step 5: Solve for x
    x = 2,646,982.07/2,024.84
  6. Step 6: Final answer
    x = 1,307.25

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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.