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Finding the Fourth Proportional to 2,746.32, 4,119.32 and 694.32

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Solution

The fourth proportional to 2,746.32, 4,119.32 and 694.32 is: 1,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.32 : 4,119.32 = 694.32 : x
  2. Step 2: Convert to fraction form
    2,746.32/4,119.32 = 694.32/x
  3. Step 3: Cross multiply
    2,746.32x = 4,119.32 × 694.32
  4. Step 4: Simplify right side
    2,746.32x = 2,860,126.26
  5. Step 5: Solve for x
    x = 2,860,126.26/2,746.32
  6. Step 6: Final answer
    x = 1,041.44

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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.