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Finding the Fourth Proportional to 2,124.14, 2,928.03 and 1,730.48

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Solution

The fourth proportional to 2,124.14, 2,928.03 and 1,730.48 is: 2,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.14 : 2,928.03 = 1,730.48 : x
  2. Step 2: Convert to fraction form
    2,124.14/2,928.03 = 1,730.48/x
  3. Step 3: Cross multiply
    2,124.14x = 2,928.03 × 1,730.48
  4. Step 4: Simplify right side
    2,124.14x = 5,066,897.35
  5. Step 5: Solve for x
    x = 5,066,897.35/2,124.14
  6. Step 6: Final answer
    x = 2,385.39

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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.