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Finding the Fourth Proportional to 2,113.53, 2,920.59 and 1,619.64

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Solution

The fourth proportional to 2,113.53, 2,920.59 and 1,619.64 is: 2,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.53 : 2,920.59 = 1,619.64 : x
  2. Step 2: Convert to fraction form
    2,113.53/2,920.59 = 1,619.64/x
  3. Step 3: Cross multiply
    2,113.53x = 2,920.59 × 1,619.64
  4. Step 4: Simplify right side
    2,113.53x = 4,730,304.39
  5. Step 5: Solve for x
    x = 4,730,304.39/2,113.53
  6. Step 6: Final answer
    x = 2,238.11

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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.