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Finding the Fourth Proportional to 1,654.52, 2,468.26 and 1,536.68

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Solution

The fourth proportional to 1,654.52, 2,468.26 and 1,536.68 is: 2,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.52 : 2,468.26 = 1,536.68 : x
  2. Step 2: Convert to fraction form
    1,654.52/2,468.26 = 1,536.68/x
  3. Step 3: Cross multiply
    1,654.52x = 2,468.26 × 1,536.68
  4. Step 4: Simplify right side
    1,654.52x = 3,792,925.78
  5. Step 5: Solve for x
    x = 3,792,925.78/1,654.52
  6. Step 6: Final answer
    x = 2,292.46

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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.