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Finding the Fourth Proportional to 2,929.04, 4,041.98 and 1,602.66

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Solution

The fourth proportional to 2,929.04, 4,041.98 and 1,602.66 is: 2,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.04 : 4,041.98 = 1,602.66 : x
  2. Step 2: Convert to fraction form
    2,929.04/4,041.98 = 1,602.66/x
  3. Step 3: Cross multiply
    2,929.04x = 4,041.98 × 1,602.66
  4. Step 4: Simplify right side
    2,929.04x = 6,477,913.57
  5. Step 5: Solve for x
    x = 6,477,913.57/2,929.04
  6. Step 6: Final answer
    x = 2,211.61

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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.