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Finding the Fourth Proportional to 2,851.40, 4,277.06 and 903.62

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Solution

The fourth proportional to 2,851.40, 4,277.06 and 903.62 is: 1,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.40 : 4,277.06 = 903.62 : x
  2. Step 2: Convert to fraction form
    2,851.40/4,277.06 = 903.62/x
  3. Step 3: Cross multiply
    2,851.40x = 4,277.06 × 903.62
  4. Step 4: Simplify right side
    2,851.40x = 3,864,836.96
  5. Step 5: Solve for x
    x = 3,864,836.96/2,851.40
  6. Step 6: Final answer
    x = 1,355.42

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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.