Home / 1,546.02-2,319.96-853.14

Finding the Fourth Proportional to 1,546.02, 2,319.96 and 853.14

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Solution

The fourth proportional to 1,546.02, 2,319.96 and 853.14 is: 1,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.02 : 2,319.96 = 853.14 : x
  2. Step 2: Convert to fraction form
    1,546.02/2,319.96 = 853.14/x
  3. Step 3: Cross multiply
    1,546.02x = 2,319.96 × 853.14
  4. Step 4: Simplify right side
    1,546.02x = 1,979,250.67
  5. Step 5: Solve for x
    x = 1,979,250.67/1,546.02
  6. Step 6: Final answer
    x = 1,280.22

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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.