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Finding the Fourth Proportional to 3,009.61, 4,512.76 and 929.05

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Solution

The fourth proportional to 3,009.61, 4,512.76 and 929.05 is: 1,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.61 : 4,512.76 = 929.05 : x
  2. Step 2: Convert to fraction form
    3,009.61/4,512.76 = 929.05/x
  3. Step 3: Cross multiply
    3,009.61x = 4,512.76 × 929.05
  4. Step 4: Simplify right side
    3,009.61x = 4,192,566.07
  5. Step 5: Solve for x
    x = 4,192,566.07/3,009.61
  6. Step 6: Final answer
    x = 1,393.06

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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.