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Finding the Fourth Proportional to 2,129.12, 3,192.59 and 973.88

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Solution

The fourth proportional to 2,129.12, 3,192.59 and 973.88 is: 1,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.12 : 3,192.59 = 973.88 : x
  2. Step 2: Convert to fraction form
    2,129.12/3,192.59 = 973.88/x
  3. Step 3: Cross multiply
    2,129.12x = 3,192.59 × 973.88
  4. Step 4: Simplify right side
    2,129.12x = 3,109,186.02
  5. Step 5: Solve for x
    x = 3,109,186.02/2,129.12
  6. Step 6: Final answer
    x = 1,460.32

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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.