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Finding the Fourth Proportional to 2,646.84, 3,653.14 and 1,528.50

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Solution

The fourth proportional to 2,646.84, 3,653.14 and 1,528.50 is: 2,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.84 : 3,653.14 = 1,528.50 : x
  2. Step 2: Convert to fraction form
    2,646.84/3,653.14 = 1,528.50/x
  3. Step 3: Cross multiply
    2,646.84x = 3,653.14 × 1,528.50
  4. Step 4: Simplify right side
    2,646.84x = 5,583,824.49
  5. Step 5: Solve for x
    x = 5,583,824.49/2,646.84
  6. Step 6: Final answer
    x = 2,109.62

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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.