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Finding the Fourth Proportional to 1,681.74, 2,321.66 and 1,052.64

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Solution

The fourth proportional to 1,681.74, 2,321.66 and 1,052.64 is: 1,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.74 : 2,321.66 = 1,052.64 : x
  2. Step 2: Convert to fraction form
    1,681.74/2,321.66 = 1,052.64/x
  3. Step 3: Cross multiply
    1,681.74x = 2,321.66 × 1,052.64
  4. Step 4: Simplify right side
    1,681.74x = 2,443,872.18
  5. Step 5: Solve for x
    x = 2,443,872.18/1,681.74
  6. Step 6: Final answer
    x = 1,453.18

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Why These Related Problems?

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