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Finding the Fourth Proportional to 1,415.76, 1,954.14 and 826.50

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Solution

The fourth proportional to 1,415.76, 1,954.14 and 826.50 is: 1,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.76 : 1,954.14 = 826.50 : x
  2. Step 2: Convert to fraction form
    1,415.76/1,954.14 = 826.50/x
  3. Step 3: Cross multiply
    1,415.76x = 1,954.14 × 826.50
  4. Step 4: Simplify right side
    1,415.76x = 1,615,096.71
  5. Step 5: Solve for x
    x = 1,615,096.71/1,415.76
  6. Step 6: Final answer
    x = 1,140.80

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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.