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Finding the Fourth Proportional to 2,912.10, 4,018.80 and 1,653.14

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Solution

The fourth proportional to 2,912.10, 4,018.80 and 1,653.14 is: 2,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.10 : 4,018.80 = 1,653.14 : x
  2. Step 2: Convert to fraction form
    2,912.10/4,018.80 = 1,653.14/x
  3. Step 3: Cross multiply
    2,912.10x = 4,018.80 × 1,653.14
  4. Step 4: Simplify right side
    2,912.10x = 6,643,639.03
  5. Step 5: Solve for x
    x = 6,643,639.03/2,912.10
  6. Step 6: Final answer
    x = 2,281.39

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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.