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Finding the Fourth Proportional to 1,636.74, 2,258.16 and 973.50

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Solution

The fourth proportional to 1,636.74, 2,258.16 and 973.50 is: 1,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.74 : 2,258.16 = 973.50 : x
  2. Step 2: Convert to fraction form
    1,636.74/2,258.16 = 973.50/x
  3. Step 3: Cross multiply
    1,636.74x = 2,258.16 × 973.50
  4. Step 4: Simplify right side
    1,636.74x = 2,198,318.76
  5. Step 5: Solve for x
    x = 2,198,318.76/1,636.74
  6. Step 6: Final answer
    x = 1,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.