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Finding the Fourth Proportional to 1,676.55, 2,514.83 and 988.02

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Solution

The fourth proportional to 1,676.55, 2,514.83 and 988.02 is: 1,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.55 : 2,514.83 = 988.02 : x
  2. Step 2: Convert to fraction form
    1,676.55/2,514.83 = 988.02/x
  3. Step 3: Cross multiply
    1,676.55x = 2,514.83 × 988.02
  4. Step 4: Simplify right side
    1,676.55x = 2,484,697.40
  5. Step 5: Solve for x
    x = 2,484,697.40/1,676.55
  6. Step 6: Final answer
    x = 1,482.03

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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.