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Finding the Fourth Proportional to 1,798.46, 2,696.63 and 701.54

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Solution

The fourth proportional to 1,798.46, 2,696.63 and 701.54 is: 1,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.46 : 2,696.63 = 701.54 : x
  2. Step 2: Convert to fraction form
    1,798.46/2,696.63 = 701.54/x
  3. Step 3: Cross multiply
    1,798.46x = 2,696.63 × 701.54
  4. Step 4: Simplify right side
    1,798.46x = 1,891,802.10
  5. Step 5: Solve for x
    x = 1,891,802.10/1,798.46
  6. Step 6: Final answer
    x = 1,051.90

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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.