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Finding the Fourth Proportional to 3,101.37, 4,652.29 and 880.16

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Solution

The fourth proportional to 3,101.37, 4,652.29 and 880.16 is: 1,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.37 : 4,652.29 = 880.16 : x
  2. Step 2: Convert to fraction form
    3,101.37/4,652.29 = 880.16/x
  3. Step 3: Cross multiply
    3,101.37x = 4,652.29 × 880.16
  4. Step 4: Simplify right side
    3,101.37x = 4,094,751.55
  5. Step 5: Solve for x
    x = 4,094,751.55/3,101.37
  6. Step 6: Final answer
    x = 1,320.31

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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.