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Finding the Fourth Proportional to 1,699.82, 2,549.70 and 877.65

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Solution

The fourth proportional to 1,699.82, 2,549.70 and 877.65 is: 1,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.82 : 2,549.70 = 877.65 : x
  2. Step 2: Convert to fraction form
    1,699.82/2,549.70 = 877.65/x
  3. Step 3: Cross multiply
    1,699.82x = 2,549.70 × 877.65
  4. Step 4: Simplify right side
    1,699.82x = 2,237,744.21
  5. Step 5: Solve for x
    x = 2,237,744.21/1,699.82
  6. Step 6: Final answer
    x = 1,316.46

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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.