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Finding the Fourth Proportional to 2,100.34, 2,898.98 and 1,216

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Solution

The fourth proportional to 2,100.34, 2,898.98 and 1,216 is: 1,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.34 : 2,898.98 = 1,216 : x
  2. Step 2: Convert to fraction form
    2,100.34/2,898.98 = 1,216/x
  3. Step 3: Cross multiply
    2,100.34x = 2,898.98 × 1,216
  4. Step 4: Simplify right side
    2,100.34x = 3,525,159.68
  5. Step 5: Solve for x
    x = 3,525,159.68/2,100.34
  6. Step 6: Final answer
    x = 1,678.38

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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.