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Finding the Fourth Proportional to 1,549.65, 2,138.67 and 920.15

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Solution

The fourth proportional to 1,549.65, 2,138.67 and 920.15 is: 1,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.65 : 2,138.67 = 920.15 : x
  2. Step 2: Convert to fraction form
    1,549.65/2,138.67 = 920.15/x
  3. Step 3: Cross multiply
    1,549.65x = 2,138.67 × 920.15
  4. Step 4: Simplify right side
    1,549.65x = 1,967,886.51
  5. Step 5: Solve for x
    x = 1,967,886.51/1,549.65
  6. Step 6: Final answer
    x = 1,269.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.