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Finding the Fourth Proportional to 2,428.70, 3,643.47 and 1,607.64

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Solution

The fourth proportional to 2,428.70, 3,643.47 and 1,607.64 is: 2,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.70 : 3,643.47 = 1,607.64 : x
  2. Step 2: Convert to fraction form
    2,428.70/3,643.47 = 1,607.64/x
  3. Step 3: Cross multiply
    2,428.70x = 3,643.47 × 1,607.64
  4. Step 4: Simplify right side
    2,428.70x = 5,857,388.11
  5. Step 5: Solve for x
    x = 5,857,388.11/2,428.70
  6. Step 6: Final answer
    x = 2,411.74

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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.