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Finding the Fourth Proportional to 1,946.58, 2,898.93 and 1,862.34

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Solution

The fourth proportional to 1,946.58, 2,898.93 and 1,862.34 is: 2,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.58 : 2,898.93 = 1,862.34 : x
  2. Step 2: Convert to fraction form
    1,946.58/2,898.93 = 1,862.34/x
  3. Step 3: Cross multiply
    1,946.58x = 2,898.93 × 1,862.34
  4. Step 4: Simplify right side
    1,946.58x = 5,398,793.30
  5. Step 5: Solve for x
    x = 5,398,793.30/1,946.58
  6. Step 6: Final answer
    x = 2,773.48

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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.