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Finding the Fourth Proportional to 2,946.24, 4,407.03 and 2,068.68

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Solution

The fourth proportional to 2,946.24, 4,407.03 and 2,068.68 is: 3,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.24 : 4,407.03 = 2,068.68 : x
  2. Step 2: Convert to fraction form
    2,946.24/4,407.03 = 2,068.68/x
  3. Step 3: Cross multiply
    2,946.24x = 4,407.03 × 2,068.68
  4. Step 4: Simplify right side
    2,946.24x = 9,116,734.82
  5. Step 5: Solve for x
    x = 9,116,734.82/2,946.24
  6. Step 6: Final answer
    x = 3,094.36

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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.