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Finding the Fourth Proportional to 1,461.74, 2,193.69 and 1,097.24

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Solution

The fourth proportional to 1,461.74, 2,193.69 and 1,097.24 is: 1,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.74 : 2,193.69 = 1,097.24 : x
  2. Step 2: Convert to fraction form
    1,461.74/2,193.69 = 1,097.24/x
  3. Step 3: Cross multiply
    1,461.74x = 2,193.69 × 1,097.24
  4. Step 4: Simplify right side
    1,461.74x = 2,407,004.42
  5. Step 5: Solve for x
    x = 2,407,004.42/1,461.74
  6. Step 6: Final answer
    x = 1,646.67

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1.5x scale

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.