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Finding the Fourth Proportional to 2,224.35, 3,070.62 and 1,340.01

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Solution

The fourth proportional to 2,224.35, 3,070.62 and 1,340.01 is: 1,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.35 : 3,070.62 = 1,340.01 : x
  2. Step 2: Convert to fraction form
    2,224.35/3,070.62 = 1,340.01/x
  3. Step 3: Cross multiply
    2,224.35x = 3,070.62 × 1,340.01
  4. Step 4: Simplify right side
    2,224.35x = 4,114,661.51
  5. Step 5: Solve for x
    x = 4,114,661.51/2,224.35
  6. Step 6: Final answer
    x = 1,849.83

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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.