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Finding the Fourth Proportional to 2,532.59, 3,498.02 and 1,950.11

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Solution

The fourth proportional to 2,532.59, 3,498.02 and 1,950.11 is: 2,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.59 : 3,498.02 = 1,950.11 : x
  2. Step 2: Convert to fraction form
    2,532.59/3,498.02 = 1,950.11/x
  3. Step 3: Cross multiply
    2,532.59x = 3,498.02 × 1,950.11
  4. Step 4: Simplify right side
    2,532.59x = 6,821,514.03
  5. Step 5: Solve for x
    x = 6,821,514.03/2,532.59
  6. Step 6: Final answer
    x = 2,693.49

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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.