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Finding the Fourth Proportional to 3,117.72, 4,676.58 and 928.08

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Solution

The fourth proportional to 3,117.72, 4,676.58 and 928.08 is: 1,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.72 : 4,676.58 = 928.08 : x
  2. Step 2: Convert to fraction form
    3,117.72/4,676.58 = 928.08/x
  3. Step 3: Cross multiply
    3,117.72x = 4,676.58 × 928.08
  4. Step 4: Simplify right side
    3,117.72x = 4,340,240.37
  5. Step 5: Solve for x
    x = 4,340,240.37/3,117.72
  6. Step 6: Final answer
    x = 1,392.12

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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.