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Finding the Fourth Proportional to 2,347.84, 3,519.46 and 1,114.21

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Solution

The fourth proportional to 2,347.84, 3,519.46 and 1,114.21 is: 1,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.84 : 3,519.46 = 1,114.21 : x
  2. Step 2: Convert to fraction form
    2,347.84/3,519.46 = 1,114.21/x
  3. Step 3: Cross multiply
    2,347.84x = 3,519.46 × 1,114.21
  4. Step 4: Simplify right side
    2,347.84x = 3,921,417.53
  5. Step 5: Solve for x
    x = 3,921,417.53/2,347.84
  6. Step 6: Final answer
    x = 1,670.22

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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.