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Finding the Fourth Proportional to 2,929.22, 4,042.17 and 1,602.67

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Solution

The fourth proportional to 2,929.22, 4,042.17 and 1,602.67 is: 2,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.22 : 4,042.17 = 1,602.67 : x
  2. Step 2: Convert to fraction form
    2,929.22/4,042.17 = 1,602.67/x
  3. Step 3: Cross multiply
    2,929.22x = 4,042.17 × 1,602.67
  4. Step 4: Simplify right side
    2,929.22x = 6,478,269.71
  5. Step 5: Solve for x
    x = 6,478,269.71/2,929.22
  6. Step 6: Final answer
    x = 2,211.60

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Why These Related Problems?

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