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Finding the Fourth Proportional to 2,384.51, 3,577.79 and 1,410.62

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Solution

The fourth proportional to 2,384.51, 3,577.79 and 1,410.62 is: 2,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.51 : 3,577.79 = 1,410.62 : x
  2. Step 2: Convert to fraction form
    2,384.51/3,577.79 = 1,410.62/x
  3. Step 3: Cross multiply
    2,384.51x = 3,577.79 × 1,410.62
  4. Step 4: Simplify right side
    2,384.51x = 5,046,887.77
  5. Step 5: Solve for x
    x = 5,046,887.77/2,384.51
  6. Step 6: Final answer
    x = 2,116.53

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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.