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Finding the Fourth Proportional to 2,513.58, 3,769.29 and 973.50

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Solution

The fourth proportional to 2,513.58, 3,769.29 and 973.50 is: 1,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.58 : 3,769.29 = 973.50 : x
  2. Step 2: Convert to fraction form
    2,513.58/3,769.29 = 973.50/x
  3. Step 3: Cross multiply
    2,513.58x = 3,769.29 × 973.50
  4. Step 4: Simplify right side
    2,513.58x = 3,669,403.82
  5. Step 5: Solve for x
    x = 3,669,403.82/2,513.58
  6. Step 6: Final answer
    x = 1,459.83

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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.