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Finding the Fourth Proportional to 2,046.64, 3,068.23 and 730.00

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Solution

The fourth proportional to 2,046.64, 3,068.23 and 730.00 is: 1,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.64 : 3,068.23 = 730.00 : x
  2. Step 2: Convert to fraction form
    2,046.64/3,068.23 = 730.00/x
  3. Step 3: Cross multiply
    2,046.64x = 3,068.23 × 730.00
  4. Step 4: Simplify right side
    2,046.64x = 2,239,798.40
  5. Step 5: Solve for x
    x = 2,239,798.40/2,046.64
  6. Step 6: Final answer
    x = 1,094.38

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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.