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Finding the Fourth Proportional to 2,039.47, 3,059.65 and 652.92

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Solution

The fourth proportional to 2,039.47, 3,059.65 and 652.92 is: 979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.47 : 3,059.65 = 652.92 : x
  2. Step 2: Convert to fraction form
    2,039.47/3,059.65 = 652.92/x
  3. Step 3: Cross multiply
    2,039.47x = 3,059.65 × 652.92
  4. Step 4: Simplify right side
    2,039.47x = 1,997,696.02
  5. Step 5: Solve for x
    x = 1,997,696.02/2,039.47
  6. Step 6: Final answer
    x = 979.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.