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Finding the Fourth Proportional to 1,610.02, 2,415.14 and 514.48

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Solution

The fourth proportional to 1,610.02, 2,415.14 and 514.48 is: 771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.02 : 2,415.14 = 514.48 : x
  2. Step 2: Convert to fraction form
    1,610.02/2,415.14 = 514.48/x
  3. Step 3: Cross multiply
    1,610.02x = 2,415.14 × 514.48
  4. Step 4: Simplify right side
    1,610.02x = 1,242,541.23
  5. Step 5: Solve for x
    x = 1,242,541.23/1,610.02
  6. Step 6: Final answer
    x = 771.76

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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.