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Finding the Fourth Proportional to 2,054.01, 2,833.51 and 1,214.30

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Solution

The fourth proportional to 2,054.01, 2,833.51 and 1,214.30 is: 1,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.01 : 2,833.51 = 1,214.30 : x
  2. Step 2: Convert to fraction form
    2,054.01/2,833.51 = 1,214.30/x
  3. Step 3: Cross multiply
    2,054.01x = 2,833.51 × 1,214.30
  4. Step 4: Simplify right side
    2,054.01x = 3,440,731.19
  5. Step 5: Solve for x
    x = 3,440,731.19/2,054.01
  6. Step 6: Final answer
    x = 1,675.13

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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.