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Finding the Fourth Proportional to 2,669.52, 4,000.63 and 1,693.87

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Solution

The fourth proportional to 2,669.52, 4,000.63 and 1,693.87 is: 2,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.52 : 4,000.63 = 1,693.87 : x
  2. Step 2: Convert to fraction form
    2,669.52/4,000.63 = 1,693.87/x
  3. Step 3: Cross multiply
    2,669.52x = 4,000.63 × 1,693.87
  4. Step 4: Simplify right side
    2,669.52x = 6,776,547.14
  5. Step 5: Solve for x
    x = 6,776,547.14/2,669.52
  6. Step 6: Final answer
    x = 2,538.49

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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.