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Finding the Fourth Proportional to 2,929.05, 4,042.16 and 1,602.81

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Solution

The fourth proportional to 2,929.05, 4,042.16 and 1,602.81 is: 2,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.05 : 4,042.16 = 1,602.81 : x
  2. Step 2: Convert to fraction form
    2,929.05/4,042.16 = 1,602.81/x
  3. Step 3: Cross multiply
    2,929.05x = 4,042.16 × 1,602.81
  4. Step 4: Simplify right side
    2,929.05x = 6,478,806.46
  5. Step 5: Solve for x
    x = 6,478,806.46/2,929.05
  6. Step 6: Final answer
    x = 2,211.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.