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Finding the Fourth Proportional to 1,684.52, 2,512.96 and 1,566.68

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Solution

The fourth proportional to 1,684.52, 2,512.96 and 1,566.68 is: 2,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.52 : 2,512.96 = 1,566.68 : x
  2. Step 2: Convert to fraction form
    1,684.52/2,512.96 = 1,566.68/x
  3. Step 3: Cross multiply
    1,684.52x = 2,512.96 × 1,566.68
  4. Step 4: Simplify right side
    1,684.52x = 3,937,004.17
  5. Step 5: Solve for x
    x = 3,937,004.17/1,684.52
  6. Step 6: Final answer
    x = 2,337.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.