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Finding the Fourth Proportional to 3,143.43, 4,337.85 and 1,746.18

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Solution

The fourth proportional to 3,143.43, 4,337.85 and 1,746.18 is: 2,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.43 : 4,337.85 = 1,746.18 : x
  2. Step 2: Convert to fraction form
    3,143.43/4,337.85 = 1,746.18/x
  3. Step 3: Cross multiply
    3,143.43x = 4,337.85 × 1,746.18
  4. Step 4: Simplify right side
    3,143.43x = 7,574,666.91
  5. Step 5: Solve for x
    x = 7,574,666.91/3,143.43
  6. Step 6: Final answer
    x = 2,409.68

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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.