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Finding the Fourth Proportional to 1,613.90, 2,226.92 and 951.32

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Solution

The fourth proportional to 1,613.90, 2,226.92 and 951.32 is: 1,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.90 : 2,226.92 = 951.32 : x
  2. Step 2: Convert to fraction form
    1,613.90/2,226.92 = 951.32/x
  3. Step 3: Cross multiply
    1,613.90x = 2,226.92 × 951.32
  4. Step 4: Simplify right side
    1,613.90x = 2,118,513.53
  5. Step 5: Solve for x
    x = 2,118,513.53/1,613.90
  6. Step 6: Final answer
    x = 1,312.67

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1.5x scale

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.