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Finding the Fourth Proportional to 3,313.63, 4,969.86 and 973.60

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Solution

The fourth proportional to 3,313.63, 4,969.86 and 973.60 is: 1,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.63 : 4,969.86 = 973.60 : x
  2. Step 2: Convert to fraction form
    3,313.63/4,969.86 = 973.60/x
  3. Step 3: Cross multiply
    3,313.63x = 4,969.86 × 973.60
  4. Step 4: Simplify right side
    3,313.63x = 4,838,655.70
  5. Step 5: Solve for x
    x = 4,838,655.70/3,313.63
  6. Step 6: Final answer
    x = 1,460.23

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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.