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Finding the Fourth Proportional to 1,743.60, 2,615.54 and 510.92

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Solution

The fourth proportional to 1,743.60, 2,615.54 and 510.92 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.60 : 2,615.54 = 510.92 : x
  2. Step 2: Convert to fraction form
    1,743.60/2,615.54 = 510.92/x
  3. Step 3: Cross multiply
    1,743.60x = 2,615.54 × 510.92
  4. Step 4: Simplify right side
    1,743.60x = 1,336,316.06
  5. Step 5: Solve for x
    x = 1,336,316.06/1,743.60
  6. Step 6: Final answer
    x = 766.41

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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.