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Finding the Fourth Proportional to 2,969.59, 4,453.07 and 1,582.67

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Solution

The fourth proportional to 2,969.59, 4,453.07 and 1,582.67 is: 2,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.59 : 4,453.07 = 1,582.67 : x
  2. Step 2: Convert to fraction form
    2,969.59/4,453.07 = 1,582.67/x
  3. Step 3: Cross multiply
    2,969.59x = 4,453.07 × 1,582.67
  4. Step 4: Simplify right side
    2,969.59x = 7,047,744.25
  5. Step 5: Solve for x
    x = 7,047,744.25/2,969.59
  6. Step 6: Final answer
    x = 2,373.30

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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.