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Finding the Fourth Proportional to 2,693.84, 3,716.52 and 1,763.60

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Solution

The fourth proportional to 2,693.84, 3,716.52 and 1,763.60 is: 2,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.84 : 3,716.52 = 1,763.60 : x
  2. Step 2: Convert to fraction form
    2,693.84/3,716.52 = 1,763.60/x
  3. Step 3: Cross multiply
    2,693.84x = 3,716.52 × 1,763.60
  4. Step 4: Simplify right side
    2,693.84x = 6,554,454.67
  5. Step 5: Solve for x
    x = 6,554,454.67/2,693.84
  6. Step 6: Final answer
    x = 2,433.13

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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.