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Finding the Fourth Proportional to 1,742.83, 2,614.80 and 510.27

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Solution

The fourth proportional to 1,742.83, 2,614.80 and 510.27 is: 765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.83 : 2,614.80 = 510.27 : x
  2. Step 2: Convert to fraction form
    1,742.83/2,614.80 = 510.27/x
  3. Step 3: Cross multiply
    1,742.83x = 2,614.80 × 510.27
  4. Step 4: Simplify right side
    1,742.83x = 1,334,254.00
  5. Step 5: Solve for x
    x = 1,334,254.00/1,742.83
  6. Step 6: Final answer
    x = 765.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.