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Finding the Fourth Proportional to 3,159.47, 4,360.00 and 1,743.10

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Solution

The fourth proportional to 3,159.47, 4,360.00 and 1,743.10 is: 2,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.47 : 4,360.00 = 1,743.10 : x
  2. Step 2: Convert to fraction form
    3,159.47/4,360.00 = 1,743.10/x
  3. Step 3: Cross multiply
    3,159.47x = 4,360.00 × 1,743.10
  4. Step 4: Simplify right side
    3,159.47x = 7,599,933.44
  5. Step 5: Solve for x
    x = 7,599,933.44/3,159.47
  6. Step 6: Final answer
    x = 2,405.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.