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Finding the Fourth Proportional to 2,851.46, 4,276.48 and 903.68

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Solution

The fourth proportional to 2,851.46, 4,276.48 and 903.68 is: 1,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.46 : 4,276.48 = 903.68 : x
  2. Step 2: Convert to fraction form
    2,851.46/4,276.48 = 903.68/x
  3. Step 3: Cross multiply
    2,851.46x = 4,276.48 × 903.68
  4. Step 4: Simplify right side
    2,851.46x = 3,864,569.45
  5. Step 5: Solve for x
    x = 3,864,569.45/2,851.46
  6. Step 6: Final answer
    x = 1,355.29

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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.