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Finding the Fourth Proportional to 1,696.84, 2,549.22 and 1,048.12

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Solution

The fourth proportional to 1,696.84, 2,549.22 and 1,048.12 is: 1,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.84 : 2,549.22 = 1,048.12 : x
  2. Step 2: Convert to fraction form
    1,696.84/2,549.22 = 1,048.12/x
  3. Step 3: Cross multiply
    1,696.84x = 2,549.22 × 1,048.12
  4. Step 4: Simplify right side
    1,696.84x = 2,671,888.47
  5. Step 5: Solve for x
    x = 2,671,888.47/1,696.84
  6. Step 6: Final answer
    x = 1,574.63

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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.