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Finding the Fourth Proportional to 2,143.80, 2,957.04 and 1,701

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Solution

The fourth proportional to 2,143.80, 2,957.04 and 1,701 is: 2,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.80 : 2,957.04 = 1,701 : x
  2. Step 2: Convert to fraction form
    2,143.80/2,957.04 = 1,701/x
  3. Step 3: Cross multiply
    2,143.80x = 2,957.04 × 1,701
  4. Step 4: Simplify right side
    2,143.80x = 5,029,925.04
  5. Step 5: Solve for x
    x = 5,029,925.04/2,143.80
  6. Step 6: Final answer
    x = 2,346.27

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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.