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Finding the Fourth Proportional to 2,532.90, 3,797.52 and 1,709.13

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Solution

The fourth proportional to 2,532.90, 3,797.52 and 1,709.13 is: 2,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.90 : 3,797.52 = 1,709.13 : x
  2. Step 2: Convert to fraction form
    2,532.90/3,797.52 = 1,709.13/x
  3. Step 3: Cross multiply
    2,532.90x = 3,797.52 × 1,709.13
  4. Step 4: Simplify right side
    2,532.90x = 6,490,455.36
  5. Step 5: Solve for x
    x = 6,490,455.36/2,532.90
  6. Step 6: Final answer
    x = 2,562.46

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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.