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Finding the Fourth Proportional to 2,683.10, 3,700.01 and 1,634.51

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Solution

The fourth proportional to 2,683.10, 3,700.01 and 1,634.51 is: 2,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.10 : 3,700.01 = 1,634.51 : x
  2. Step 2: Convert to fraction form
    2,683.10/3,700.01 = 1,634.51/x
  3. Step 3: Cross multiply
    2,683.10x = 3,700.01 × 1,634.51
  4. Step 4: Simplify right side
    2,683.10x = 6,047,676.67
  5. Step 5: Solve for x
    x = 6,047,676.67/2,683.10
  6. Step 6: Final answer
    x = 2,253.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.