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Finding the Fourth Proportional to 2,210.96, 3,051.14 and 1,216.21

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Solution

The fourth proportional to 2,210.96, 3,051.14 and 1,216.21 is: 1,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.96 : 3,051.14 = 1,216.21 : x
  2. Step 2: Convert to fraction form
    2,210.96/3,051.14 = 1,216.21/x
  3. Step 3: Cross multiply
    2,210.96x = 3,051.14 × 1,216.21
  4. Step 4: Simplify right side
    2,210.96x = 3,710,818.99
  5. Step 5: Solve for x
    x = 3,710,818.99/2,210.96
  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.