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Finding the Fourth Proportional to 2,254.90, 3,109.75 and 1,415.69

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Solution

The fourth proportional to 2,254.90, 3,109.75 and 1,415.69 is: 1,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.90 : 3,109.75 = 1,415.69 : x
  2. Step 2: Convert to fraction form
    2,254.90/3,109.75 = 1,415.69/x
  3. Step 3: Cross multiply
    2,254.90x = 3,109.75 × 1,415.69
  4. Step 4: Simplify right side
    2,254.90x = 4,402,428.20
  5. Step 5: Solve for x
    x = 4,402,428.20/2,254.90
  6. Step 6: Final answer
    x = 1,952.38

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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.