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Finding the Fourth Proportional to 2,093.84, 2,888.22 and 1,505.17

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Solution

The fourth proportional to 2,093.84, 2,888.22 and 1,505.17 is: 2,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.84 : 2,888.22 = 1,505.17 : x
  2. Step 2: Convert to fraction form
    2,093.84/2,888.22 = 1,505.17/x
  3. Step 3: Cross multiply
    2,093.84x = 2,888.22 × 1,505.17
  4. Step 4: Simplify right side
    2,093.84x = 4,347,262.10
  5. Step 5: Solve for x
    x = 4,347,262.10/2,093.84
  6. Step 6: Final answer
    x = 2,076.22

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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.