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Finding the Fourth Proportional to 1,342.84, 2,014.64 and 1,214.32

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Solution

The fourth proportional to 1,342.84, 2,014.64 and 1,214.32 is: 1,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.84 : 2,014.64 = 1,214.32 : x
  2. Step 2: Convert to fraction form
    1,342.84/2,014.64 = 1,214.32/x
  3. Step 3: Cross multiply
    1,342.84x = 2,014.64 × 1,214.32
  4. Step 4: Simplify right side
    1,342.84x = 2,446,417.64
  5. Step 5: Solve for x
    x = 2,446,417.64/1,342.84
  6. Step 6: Final answer
    x = 1,821.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.