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Finding the Fourth Proportional to 1,681.59, 2,537.42 and 1,614.16

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Solution

The fourth proportional to 1,681.59, 2,537.42 and 1,614.16 is: 2,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.59 : 2,537.42 = 1,614.16 : x
  2. Step 2: Convert to fraction form
    1,681.59/2,537.42 = 1,614.16/x
  3. Step 3: Cross multiply
    1,681.59x = 2,537.42 × 1,614.16
  4. Step 4: Simplify right side
    1,681.59x = 4,095,801.87
  5. Step 5: Solve for x
    x = 4,095,801.87/1,681.59
  6. Step 6: Final answer
    x = 2,435.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.