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Finding the Fourth Proportional to 2,146.34, 2,962.02 and 1,250.01

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Solution

The fourth proportional to 2,146.34, 2,962.02 and 1,250.01 is: 1,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.34 : 2,962.02 = 1,250.01 : x
  2. Step 2: Convert to fraction form
    2,146.34/2,962.02 = 1,250.01/x
  3. Step 3: Cross multiply
    2,146.34x = 2,962.02 × 1,250.01
  4. Step 4: Simplify right side
    2,146.34x = 3,702,554.62
  5. Step 5: Solve for x
    x = 3,702,554.62/2,146.34
  6. Step 6: Final answer
    x = 1,725.06

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