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Finding the Fourth Proportional to 3,143.64, 4,337.76 and 1,746.39

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Solution

The fourth proportional to 3,143.64, 4,337.76 and 1,746.39 is: 2,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.64 : 4,337.76 = 1,746.39 : x
  2. Step 2: Convert to fraction form
    3,143.64/4,337.76 = 1,746.39/x
  3. Step 3: Cross multiply
    3,143.64x = 4,337.76 × 1,746.39
  4. Step 4: Simplify right side
    3,143.64x = 7,575,420.69
  5. Step 5: Solve for x
    x = 7,575,420.69/3,143.64
  6. Step 6: Final answer
    x = 2,409.76

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