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Finding the Fourth Proportional to 1,606.64, 2,410.14 and 510.80

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Solution

The fourth proportional to 1,606.64, 2,410.14 and 510.80 is: 766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.64 : 2,410.14 = 510.80 : x
  2. Step 2: Convert to fraction form
    1,606.64/2,410.14 = 510.80/x
  3. Step 3: Cross multiply
    1,606.64x = 2,410.14 × 510.80
  4. Step 4: Simplify right side
    1,606.64x = 1,231,099.51
  5. Step 5: Solve for x
    x = 1,231,099.51/1,606.64
  6. Step 6: Final answer
    x = 766.26

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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.