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Finding the Fourth Proportional to 2,452.84, 3,384.75 and 1,458.20

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Solution

The fourth proportional to 2,452.84, 3,384.75 and 1,458.20 is: 2,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.84 : 3,384.75 = 1,458.20 : x
  2. Step 2: Convert to fraction form
    2,452.84/3,384.75 = 1,458.20/x
  3. Step 3: Cross multiply
    2,452.84x = 3,384.75 × 1,458.20
  4. Step 4: Simplify right side
    2,452.84x = 4,935,642.45
  5. Step 5: Solve for x
    x = 4,935,642.45/2,452.84
  6. Step 6: Final answer
    x = 2,012.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.