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Finding the Fourth Proportional to 1,743.46, 2,615.60 and 510.84

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Solution

The fourth proportional to 1,743.46, 2,615.60 and 510.84 is: 766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.46 : 2,615.60 = 510.84 : x
  2. Step 2: Convert to fraction form
    1,743.46/2,615.60 = 510.84/x
  3. Step 3: Cross multiply
    1,743.46x = 2,615.60 × 510.84
  4. Step 4: Simplify right side
    1,743.46x = 1,336,153.10
  5. Step 5: Solve for x
    x = 1,336,153.10/1,743.46
  6. Step 6: Final answer
    x = 766.38

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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.