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Finding the Fourth Proportional to 1,415.14, 1,953.75 and 1,099.81

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Solution

The fourth proportional to 1,415.14, 1,953.75 and 1,099.81 is: 1,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 1,953.75 = 1,099.81 : x
  2. Step 2: Convert to fraction form
    1,415.14/1,953.75 = 1,099.81/x
  3. Step 3: Cross multiply
    1,415.14x = 1,953.75 × 1,099.81
  4. Step 4: Simplify right side
    1,415.14x = 2,148,752.97
  5. Step 5: Solve for x
    x = 2,148,752.97/1,415.14
  6. Step 6: Final answer
    x = 1,518.40

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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.