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Finding the Fourth Proportional to 1,415.83, 2,109.15 and 1,372.84

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Solution

The fourth proportional to 1,415.83, 2,109.15 and 1,372.84 is: 2,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.83 : 2,109.15 = 1,372.84 : x
  2. Step 2: Convert to fraction form
    1,415.83/2,109.15 = 1,372.84/x
  3. Step 3: Cross multiply
    1,415.83x = 2,109.15 × 1,372.84
  4. Step 4: Simplify right side
    1,415.83x = 2,895,525.49
  5. Step 5: Solve for x
    x = 2,895,525.49/1,415.83
  6. Step 6: Final answer
    x = 2,045.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.