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Finding the Fourth Proportional to 1,828.78, 2,741.75 and 903.70

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Solution

The fourth proportional to 1,828.78, 2,741.75 and 903.70 is: 1,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.78 : 2,741.75 = 903.70 : x
  2. Step 2: Convert to fraction form
    1,828.78/2,741.75 = 903.70/x
  3. Step 3: Cross multiply
    1,828.78x = 2,741.75 × 903.70
  4. Step 4: Simplify right side
    1,828.78x = 2,477,719.48
  5. Step 5: Solve for x
    x = 2,477,719.48/1,828.78
  6. Step 6: Final answer
    x = 1,354.85

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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.