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Finding the Fourth Proportional to 1,743.37, 2,615.47 and 510.82

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Solution

The fourth proportional to 1,743.37, 2,615.47 and 510.82 is: 766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.37 : 2,615.47 = 510.82 : x
  2. Step 2: Convert to fraction form
    1,743.37/2,615.47 = 510.82/x
  3. Step 3: Cross multiply
    1,743.37x = 2,615.47 × 510.82
  4. Step 4: Simplify right side
    1,743.37x = 1,336,026.57
  5. Step 5: Solve for x
    x = 1,336,026.57/1,743.37
  6. Step 6: Final answer
    x = 766.35

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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.