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Finding the Fourth Proportional to 2,715.84, 3,746.64 and 1,596.84

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Solution

The fourth proportional to 2,715.84, 3,746.64 and 1,596.84 is: 2,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.84 : 3,746.64 = 1,596.84 : x
  2. Step 2: Convert to fraction form
    2,715.84/3,746.64 = 1,596.84/x
  3. Step 3: Cross multiply
    2,715.84x = 3,746.64 × 1,596.84
  4. Step 4: Simplify right side
    2,715.84x = 5,982,784.62
  5. Step 5: Solve for x
    x = 5,982,784.62/2,715.84
  6. Step 6: Final answer
    x = 2,202.92

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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.