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Finding the Fourth Proportional to 1,610.95, 2,416.61 and 514.93

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Solution

The fourth proportional to 1,610.95, 2,416.61 and 514.93 is: 772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.95 : 2,416.61 = 514.93 : x
  2. Step 2: Convert to fraction form
    1,610.95/2,416.61 = 514.93/x
  3. Step 3: Cross multiply
    1,610.95x = 2,416.61 × 514.93
  4. Step 4: Simplify right side
    1,610.95x = 1,244,384.99
  5. Step 5: Solve for x
    x = 1,244,384.99/1,610.95
  6. Step 6: Final answer
    x = 772.45

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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.