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Finding the Fourth Proportional to 3,005.66, 4,147.39 and 1,746.51

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Solution

The fourth proportional to 3,005.66, 4,147.39 and 1,746.51 is: 2,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.66 : 4,147.39 = 1,746.51 : x
  2. Step 2: Convert to fraction form
    3,005.66/4,147.39 = 1,746.51/x
  3. Step 3: Cross multiply
    3,005.66x = 4,147.39 × 1,746.51
  4. Step 4: Simplify right side
    3,005.66x = 7,243,458.11
  5. Step 5: Solve for x
    x = 7,243,458.11/3,005.66
  6. Step 6: Final answer
    x = 2,409.94

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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.