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Finding the Fourth Proportional to 2,128.14, 3,192.03 and 973.89

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Solution

The fourth proportional to 2,128.14, 3,192.03 and 973.89 is: 1,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.14 : 3,192.03 = 973.89 : x
  2. Step 2: Convert to fraction form
    2,128.14/3,192.03 = 973.89/x
  3. Step 3: Cross multiply
    2,128.14x = 3,192.03 × 973.89
  4. Step 4: Simplify right side
    2,128.14x = 3,108,686.10
  5. Step 5: Solve for x
    x = 3,108,686.10/2,128.14
  6. Step 6: Final answer
    x = 1,460.75

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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.