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Finding the Fourth Proportional to 2,051.04, 3,076.48 and 683.04

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Solution

The fourth proportional to 2,051.04, 3,076.48 and 683.04 is: 1,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.04 : 3,076.48 = 683.04 : x
  2. Step 2: Convert to fraction form
    2,051.04/3,076.48 = 683.04/x
  3. Step 3: Cross multiply
    2,051.04x = 3,076.48 × 683.04
  4. Step 4: Simplify right side
    2,051.04x = 2,101,358.90
  5. Step 5: Solve for x
    x = 2,101,358.90/2,051.04
  6. Step 6: Final answer
    x = 1,024.53

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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.