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Finding the Fourth Proportional to 2,914.53, 4,020.84 and 2,030.84

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Solution

The fourth proportional to 2,914.53, 4,020.84 and 2,030.84 is: 2,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.53 : 4,020.84 = 2,030.84 : x
  2. Step 2: Convert to fraction form
    2,914.53/4,020.84 = 2,030.84/x
  3. Step 3: Cross multiply
    2,914.53x = 4,020.84 × 2,030.84
  4. Step 4: Simplify right side
    2,914.53x = 8,165,682.71
  5. Step 5: Solve for x
    x = 8,165,682.71/2,914.53
  6. Step 6: Final answer
    x = 2,801.72

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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.