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Finding the Fourth Proportional to 1,743.48, 2,615.09 and 510.86

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Solution

The fourth proportional to 1,743.48, 2,615.09 and 510.86 is: 766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.48 : 2,615.09 = 510.86 : x
  2. Step 2: Convert to fraction form
    1,743.48/2,615.09 = 510.86/x
  3. Step 3: Cross multiply
    1,743.48x = 2,615.09 × 510.86
  4. Step 4: Simplify right side
    1,743.48x = 1,335,948.86
  5. Step 5: Solve for x
    x = 1,335,948.86/1,743.48
  6. Step 6: Final answer
    x = 766.25

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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.