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Finding the Fourth Proportional to 1,415.68, 2,106.24 and 1,333.76

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Solution

The fourth proportional to 1,415.68, 2,106.24 and 1,333.76 is: 1,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.68 : 2,106.24 = 1,333.76 : x
  2. Step 2: Convert to fraction form
    1,415.68/2,106.24 = 1,333.76/x
  3. Step 3: Cross multiply
    1,415.68x = 2,106.24 × 1,333.76
  4. Step 4: Simplify right side
    1,415.68x = 2,809,218.66
  5. Step 5: Solve for x
    x = 2,809,218.66/1,415.68
  6. Step 6: Final answer
    x = 1,984.36

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