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Finding the Fourth Proportional to 2,116.86, 3,154.58 and 2,053.44

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Solution

The fourth proportional to 2,116.86, 3,154.58 and 2,053.44 is: 3,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.86 : 3,154.58 = 2,053.44 : x
  2. Step 2: Convert to fraction form
    2,116.86/3,154.58 = 2,053.44/x
  3. Step 3: Cross multiply
    2,116.86x = 3,154.58 × 2,053.44
  4. Step 4: Simplify right side
    2,116.86x = 6,477,730.49
  5. Step 5: Solve for x
    x = 6,477,730.49/2,116.86
  6. Step 6: Final answer
    x = 3,060.07

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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.