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Finding the Fourth Proportional to 2,274.95, 3,409.70 and 973.69

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Solution

The fourth proportional to 2,274.95, 3,409.70 and 973.69 is: 1,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.95 : 3,409.70 = 973.69 : x
  2. Step 2: Convert to fraction form
    2,274.95/3,409.70 = 973.69/x
  3. Step 3: Cross multiply
    2,274.95x = 3,409.70 × 973.69
  4. Step 4: Simplify right side
    2,274.95x = 3,319,977.40
  5. Step 5: Solve for x
    x = 3,319,977.40/2,274.95
  6. Step 6: Final answer
    x = 1,459.36

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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.