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Finding the Fourth Proportional to 3,005.69, 4,146.93 and 1,746.50

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Solution

The fourth proportional to 3,005.69, 4,146.93 and 1,746.50 is: 2,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.69 : 4,146.93 = 1,746.50 : x
  2. Step 2: Convert to fraction form
    3,005.69/4,146.93 = 1,746.50/x
  3. Step 3: Cross multiply
    3,005.69x = 4,146.93 × 1,746.50
  4. Step 4: Simplify right side
    3,005.69x = 7,242,613.25
  5. Step 5: Solve for x
    x = 7,242,613.25/3,005.69
  6. Step 6: Final answer
    x = 2,409.63

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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.