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Finding the Fourth Proportional to 2,901.62, 4,352.64 and 1,668.50

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Solution

The fourth proportional to 2,901.62, 4,352.64 and 1,668.50 is: 2,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.62 : 4,352.64 = 1,668.50 : x
  2. Step 2: Convert to fraction form
    2,901.62/4,352.64 = 1,668.50/x
  3. Step 3: Cross multiply
    2,901.62x = 4,352.64 × 1,668.50
  4. Step 4: Simplify right side
    2,901.62x = 7,262,368.14
  5. Step 5: Solve for x
    x = 7,262,368.14/2,901.62
  6. Step 6: Final answer
    x = 2,502.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.