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Finding the Fourth Proportional to 1,699.41, 2,549.49 and 1,006.71

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Solution

The fourth proportional to 1,699.41, 2,549.49 and 1,006.71 is: 1,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.41 : 2,549.49 = 1,006.71 : x
  2. Step 2: Convert to fraction form
    1,699.41/2,549.49 = 1,006.71/x
  3. Step 3: Cross multiply
    1,699.41x = 2,549.49 × 1,006.71
  4. Step 4: Simplify right side
    1,699.41x = 2,566,597.08
  5. Step 5: Solve for x
    x = 2,566,597.08/1,699.41
  6. Step 6: Final answer
    x = 1,510.29

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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.