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Finding the Fourth Proportional to 2,752.14, 3,797.94 and 1,510.14

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Solution

The fourth proportional to 2,752.14, 3,797.94 and 1,510.14 is: 2,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.14 : 3,797.94 = 1,510.14 : x
  2. Step 2: Convert to fraction form
    2,752.14/3,797.94 = 1,510.14/x
  3. Step 3: Cross multiply
    2,752.14x = 3,797.94 × 1,510.14
  4. Step 4: Simplify right side
    2,752.14x = 5,735,421.11
  5. Step 5: Solve for x
    x = 5,735,421.11/2,752.14
  6. Step 6: Final answer
    x = 2,083.99

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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.