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Finding the Fourth Proportional to 2,384.02, 3,576.75 and 1,607.14

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Solution

The fourth proportional to 2,384.02, 3,576.75 and 1,607.14 is: 2,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.02 : 3,576.75 = 1,607.14 : x
  2. Step 2: Convert to fraction form
    2,384.02/3,576.75 = 1,607.14/x
  3. Step 3: Cross multiply
    2,384.02x = 3,576.75 × 1,607.14
  4. Step 4: Simplify right side
    2,384.02x = 5,748,338.00
  5. Step 5: Solve for x
    x = 5,748,338.00/2,384.02
  6. Step 6: Final answer
    x = 2,411.20

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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.