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Finding the Fourth Proportional to 2,153.02, 2,971.29 and 1,628.14

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Solution

The fourth proportional to 2,153.02, 2,971.29 and 1,628.14 is: 2,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.02 : 2,971.29 = 1,628.14 : x
  2. Step 2: Convert to fraction form
    2,153.02/2,971.29 = 1,628.14/x
  3. Step 3: Cross multiply
    2,153.02x = 2,971.29 × 1,628.14
  4. Step 4: Simplify right side
    2,153.02x = 4,837,676.10
  5. Step 5: Solve for x
    x = 4,837,676.10/2,153.02
  6. Step 6: Final answer
    x = 2,246.93

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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.